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Finding the Fourth Proportional to 697.85, 1,045.87 and 332.14

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Solution

The fourth proportional to 697.85, 1,045.87 and 332.14 is: 497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.85 : 1,045.87 = 332.14 : x
  2. Step 2: Convert to fraction form
    697.85/1,045.87 = 332.14/x
  3. Step 3: Cross multiply
    697.85x = 1,045.87 × 332.14
  4. Step 4: Simplify right side
    697.85x = 347,375.26
  5. Step 5: Solve for x
    x = 347,375.26/697.85
  6. Step 6: Final answer
    x = 497.78

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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.