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Finding the Fourth Proportional to 714.62, 1,066.39 and 632.61

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Solution

The fourth proportional to 714.62, 1,066.39 and 632.61 is: 944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.62 : 1,066.39 = 632.61 : x
  2. Step 2: Convert to fraction form
    714.62/1,066.39 = 632.61/x
  3. Step 3: Cross multiply
    714.62x = 1,066.39 × 632.61
  4. Step 4: Simplify right side
    714.62x = 674,608.98
  5. Step 5: Solve for x
    x = 674,608.98/714.62
  6. Step 6: Final answer
    x = 944.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.