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Finding the Fourth Proportional to 835.75, 1,152.96 and 541.03

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Solution

The fourth proportional to 835.75, 1,152.96 and 541.03 is: 746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.75 : 1,152.96 = 541.03 : x
  2. Step 2: Convert to fraction form
    835.75/1,152.96 = 541.03/x
  3. Step 3: Cross multiply
    835.75x = 1,152.96 × 541.03
  4. Step 4: Simplify right side
    835.75x = 623,785.95
  5. Step 5: Solve for x
    x = 623,785.95/835.75
  6. Step 6: Final answer
    x = 746.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.