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Finding the Fourth Proportional to 714.14, 1,071.60 and 497.30

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Solution

The fourth proportional to 714.14, 1,071.60 and 497.30 is: 746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.14 : 1,071.60 = 497.30 : x
  2. Step 2: Convert to fraction form
    714.14/1,071.60 = 497.30/x
  3. Step 3: Cross multiply
    714.14x = 1,071.60 × 497.30
  4. Step 4: Simplify right side
    714.14x = 532,906.68
  5. Step 5: Solve for x
    x = 532,906.68/714.14
  6. Step 6: Final answer
    x = 746.22

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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.