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Finding the Fourth Proportional to 932.48, 1,398.72 and 607.76

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Solution

The fourth proportional to 932.48, 1,398.72 and 607.76 is: 911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.48 : 1,398.72 = 607.76 : x
  2. Step 2: Convert to fraction form
    932.48/1,398.72 = 607.76/x
  3. Step 3: Cross multiply
    932.48x = 1,398.72 × 607.76
  4. Step 4: Simplify right side
    932.48x = 850,086.07
  5. Step 5: Solve for x
    x = 850,086.07/932.48
  6. Step 6: Final answer
    x = 911.64

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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.