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Finding the Fourth Proportional to 1,154.38, 1,732.24 and 461.38

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Solution

The fourth proportional to 1,154.38, 1,732.24 and 461.38 is: 692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.38 : 1,732.24 = 461.38 : x
  2. Step 2: Convert to fraction form
    1,154.38/1,732.24 = 461.38/x
  3. Step 3: Cross multiply
    1,154.38x = 1,732.24 × 461.38
  4. Step 4: Simplify right side
    1,154.38x = 799,220.89
  5. Step 5: Solve for x
    x = 799,220.89/1,154.38
  6. Step 6: Final answer
    x = 692.34

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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.