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Finding the Fourth Proportional to 754.20, 1,130.76 and 461.70

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Solution

The fourth proportional to 754.20, 1,130.76 and 461.70 is: 692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.20 : 1,130.76 = 461.70 : x
  2. Step 2: Convert to fraction form
    754.20/1,130.76 = 461.70/x
  3. Step 3: Cross multiply
    754.20x = 1,130.76 × 461.70
  4. Step 4: Simplify right side
    754.20x = 522,071.89
  5. Step 5: Solve for x
    x = 522,071.89/754.20
  6. Step 6: Final answer
    x = 692.22

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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.