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Finding the Fourth Proportional to 709.05, 1,062.03 and 502.99

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Solution

The fourth proportional to 709.05, 1,062.03 and 502.99 is: 753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.05 : 1,062.03 = 502.99 : x
  2. Step 2: Convert to fraction form
    709.05/1,062.03 = 502.99/x
  3. Step 3: Cross multiply
    709.05x = 1,062.03 × 502.99
  4. Step 4: Simplify right side
    709.05x = 534,187.95
  5. Step 5: Solve for x
    x = 534,187.95/709.05
  6. Step 6: Final answer
    x = 753.39

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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.