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Finding the Fourth Proportional to 835.67, 1,254.12 and 316.18

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Solution

The fourth proportional to 835.67, 1,254.12 and 316.18 is: 474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.67 : 1,254.12 = 316.18 : x
  2. Step 2: Convert to fraction form
    835.67/1,254.12 = 316.18/x
  3. Step 3: Cross multiply
    835.67x = 1,254.12 × 316.18
  4. Step 4: Simplify right side
    835.67x = 396,527.66
  5. Step 5: Solve for x
    x = 396,527.66/835.67
  6. Step 6: Final answer
    x = 474.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.