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Finding the Fourth Proportional to 823.83, 1,234.99 and 412.53

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Solution

The fourth proportional to 823.83, 1,234.99 and 412.53 is: 618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.83 : 1,234.99 = 412.53 : x
  2. Step 2: Convert to fraction form
    823.83/1,234.99 = 412.53/x
  3. Step 3: Cross multiply
    823.83x = 1,234.99 × 412.53
  4. Step 4: Simplify right side
    823.83x = 509,470.42
  5. Step 5: Solve for x
    x = 509,470.42/823.83
  6. Step 6: Final answer
    x = 618.42

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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.