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Finding the Fourth Proportional to 714.73, 1,070.92 and 440.24

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Solution

The fourth proportional to 714.73, 1,070.92 and 440.24 is: 659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.73 : 1,070.92 = 440.24 : x
  2. Step 2: Convert to fraction form
    714.73/1,070.92 = 440.24/x
  3. Step 3: Cross multiply
    714.73x = 1,070.92 × 440.24
  4. Step 4: Simplify right side
    714.73x = 471,455.37
  5. Step 5: Solve for x
    x = 471,455.37/714.73
  6. Step 6: Final answer
    x = 659.63

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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.