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Finding the Fourth Proportional to 1,154.61, 1,732.62 and 461.61

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Solution

The fourth proportional to 1,154.61, 1,732.62 and 461.61 is: 692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.61 : 1,732.62 = 461.61 : x
  2. Step 2: Convert to fraction form
    1,154.61/1,732.62 = 461.61/x
  3. Step 3: Cross multiply
    1,154.61x = 1,732.62 × 461.61
  4. Step 4: Simplify right side
    1,154.61x = 799,794.72
  5. Step 5: Solve for x
    x = 799,794.72/1,154.61
  6. Step 6: Final answer
    x = 692.70

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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.