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Finding the Fourth Proportional to 697.04, 1,044.60 and 614.48

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Solution

The fourth proportional to 697.04, 1,044.60 and 614.48 is: 920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.04 : 1,044.60 = 614.48 : x
  2. Step 2: Convert to fraction form
    697.04/1,044.60 = 614.48/x
  3. Step 3: Cross multiply
    697.04x = 1,044.60 × 614.48
  4. Step 4: Simplify right side
    697.04x = 641,885.81
  5. Step 5: Solve for x
    x = 641,885.81/697.04
  6. Step 6: Final answer
    x = 920.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.