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Finding the Fourth Proportional to 1,160.15, 1,729.87 and 1,031.36

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Solution

The fourth proportional to 1,160.15, 1,729.87 and 1,031.36 is: 1,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.15 : 1,729.87 = 1,031.36 : x
  2. Step 2: Convert to fraction form
    1,160.15/1,729.87 = 1,031.36/x
  3. Step 3: Cross multiply
    1,160.15x = 1,729.87 × 1,031.36
  4. Step 4: Simplify right side
    1,160.15x = 1,784,118.72
  5. Step 5: Solve for x
    x = 1,784,118.72/1,160.15
  6. Step 6: Final answer
    x = 1,537.83

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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.