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Finding the Fourth Proportional to 535.92, 801.65 and 503.11

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Solution

The fourth proportional to 535.92, 801.65 and 503.11 is: 752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.92 : 801.65 = 503.11 : x
  2. Step 2: Convert to fraction form
    535.92/801.65 = 503.11/x
  3. Step 3: Cross multiply
    535.92x = 801.65 × 503.11
  4. Step 4: Simplify right side
    535.92x = 403,318.13
  5. Step 5: Solve for x
    x = 403,318.13/535.92
  6. Step 6: Final answer
    x = 752.58

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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.