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Finding the Fourth Proportional to 753.71, 1,131.17 and 705.11

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Solution

The fourth proportional to 753.71, 1,131.17 and 705.11 is: 1,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.71 : 1,131.17 = 705.11 : x
  2. Step 2: Convert to fraction form
    753.71/1,131.17 = 705.11/x
  3. Step 3: Cross multiply
    753.71x = 1,131.17 × 705.11
  4. Step 4: Simplify right side
    753.71x = 797,590.10
  5. Step 5: Solve for x
    x = 797,590.10/753.71
  6. Step 6: Final answer
    x = 1,058.23

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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.