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Finding the Fourth Proportional to 714.47, 1,071.88 and 508.53

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Solution

The fourth proportional to 714.47, 1,071.88 and 508.53 is: 762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.47 : 1,071.88 = 508.53 : x
  2. Step 2: Convert to fraction form
    714.47/1,071.88 = 508.53/x
  3. Step 3: Cross multiply
    714.47x = 1,071.88 × 508.53
  4. Step 4: Simplify right side
    714.47x = 545,082.72
  5. Step 5: Solve for x
    x = 545,082.72/714.47
  6. Step 6: Final answer
    x = 762.92

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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.