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Finding the Fourth Proportional to 671.46, 1,006.58 and 479.22

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Solution

The fourth proportional to 671.46, 1,006.58 and 479.22 is: 718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.46 : 1,006.58 = 479.22 : x
  2. Step 2: Convert to fraction form
    671.46/1,006.58 = 479.22/x
  3. Step 3: Cross multiply
    671.46x = 1,006.58 × 479.22
  4. Step 4: Simplify right side
    671.46x = 482,373.27
  5. Step 5: Solve for x
    x = 482,373.27/671.46
  6. Step 6: Final answer
    x = 718.39

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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.