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Finding the Fourth Proportional to 750.32, 1,125.75 and 461.42

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Solution

The fourth proportional to 750.32, 1,125.75 and 461.42 is: 692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.32 : 1,125.75 = 461.42 : x
  2. Step 2: Convert to fraction form
    750.32/1,125.75 = 461.42/x
  3. Step 3: Cross multiply
    750.32x = 1,125.75 × 461.42
  4. Step 4: Simplify right side
    750.32x = 519,443.57
  5. Step 5: Solve for x
    x = 519,443.57/750.32
  6. Step 6: Final answer
    x = 692.30

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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.