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Finding the Fourth Proportional to 731.70, 1,008.98 and 482.69

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Solution

The fourth proportional to 731.70, 1,008.98 and 482.69 is: 665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.70 : 1,008.98 = 482.69 : x
  2. Step 2: Convert to fraction form
    731.70/1,008.98 = 482.69/x
  3. Step 3: Cross multiply
    731.70x = 1,008.98 × 482.69
  4. Step 4: Simplify right side
    731.70x = 487,026.48
  5. Step 5: Solve for x
    x = 487,026.48/731.70
  6. Step 6: Final answer
    x = 665.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.