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Finding the Fourth Proportional to 743.13, 1,114.83 and 502.02

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Solution

The fourth proportional to 743.13, 1,114.83 and 502.02 is: 753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.13 : 1,114.83 = 502.02 : x
  2. Step 2: Convert to fraction form
    743.13/1,114.83 = 502.02/x
  3. Step 3: Cross multiply
    743.13x = 1,114.83 × 502.02
  4. Step 4: Simplify right side
    743.13x = 559,666.96
  5. Step 5: Solve for x
    x = 559,666.96/743.13
  6. Step 6: Final answer
    x = 753.12

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