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Finding the Fourth Proportional to 697.88, 1,044.99 and 492.14

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Solution

The fourth proportional to 697.88, 1,044.99 and 492.14 is: 736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.88 : 1,044.99 = 492.14 : x
  2. Step 2: Convert to fraction form
    697.88/1,044.99 = 492.14/x
  3. Step 3: Cross multiply
    697.88x = 1,044.99 × 492.14
  4. Step 4: Simplify right side
    697.88x = 514,276.15
  5. Step 5: Solve for x
    x = 514,276.15/697.88
  6. Step 6: Final answer
    x = 736.92

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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.