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Finding the Fourth Proportional to 1,265.91, 1,746.98 and 706.44

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Solution

The fourth proportional to 1,265.91, 1,746.98 and 706.44 is: 974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.91 : 1,746.98 = 706.44 : x
  2. Step 2: Convert to fraction form
    1,265.91/1,746.98 = 706.44/x
  3. Step 3: Cross multiply
    1,265.91x = 1,746.98 × 706.44
  4. Step 4: Simplify right side
    1,265.91x = 1,234,136.55
  5. Step 5: Solve for x
    x = 1,234,136.55/1,265.91
  6. Step 6: Final answer
    x = 974.90

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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.