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Finding the Fourth Proportional to 699.47, 1,047.16 and 503.78

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Solution

The fourth proportional to 699.47, 1,047.16 and 503.78 is: 754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.47 : 1,047.16 = 503.78 : x
  2. Step 2: Convert to fraction form
    699.47/1,047.16 = 503.78/x
  3. Step 3: Cross multiply
    699.47x = 1,047.16 × 503.78
  4. Step 4: Simplify right side
    699.47x = 527,538.26
  5. Step 5: Solve for x
    x = 527,538.26/699.47
  6. Step 6: Final answer
    x = 754.20

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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.