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Finding the Fourth Proportional to 1,154.13, 1,731.42 and 691.35

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Solution

The fourth proportional to 1,154.13, 1,731.42 and 691.35 is: 1,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.13 : 1,731.42 = 691.35 : x
  2. Step 2: Convert to fraction form
    1,154.13/1,731.42 = 691.35/x
  3. Step 3: Cross multiply
    1,154.13x = 1,731.42 × 691.35
  4. Step 4: Simplify right side
    1,154.13x = 1,197,017.22
  5. Step 5: Solve for x
    x = 1,197,017.22/1,154.13
  6. Step 6: Final answer
    x = 1,037.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.