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Finding the Fourth Proportional to 1,154.92, 1,732.38 and 645.16

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Solution

The fourth proportional to 1,154.92, 1,732.38 and 645.16 is: 967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.92 : 1,732.38 = 645.16 : x
  2. Step 2: Convert to fraction form
    1,154.92/1,732.38 = 645.16/x
  3. Step 3: Cross multiply
    1,154.92x = 1,732.38 × 645.16
  4. Step 4: Simplify right side
    1,154.92x = 1,117,662.28
  5. Step 5: Solve for x
    x = 1,117,662.28/1,154.92
  6. Step 6: Final answer
    x = 967.74

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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.