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Finding the Fourth Proportional to 1,154.89, 1,732.29 and 461.35

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Solution

The fourth proportional to 1,154.89, 1,732.29 and 461.35 is: 692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.89 : 1,732.29 = 461.35 : x
  2. Step 2: Convert to fraction form
    1,154.89/1,732.29 = 461.35/x
  3. Step 3: Cross multiply
    1,154.89x = 1,732.29 × 461.35
  4. Step 4: Simplify right side
    1,154.89x = 799,191.99
  5. Step 5: Solve for x
    x = 799,191.99/1,154.89
  6. Step 6: Final answer
    x = 692.01

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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.