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Finding the Fourth Proportional to 750, 1,124.88 and 442

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Solution

The fourth proportional to 750, 1,124.88 and 442 is: 662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    750 : 1,124.88 = 442 : x
  2. Step 2: Convert to fraction form
    750/1,124.88 = 442/x
  3. Step 3: Cross multiply
    750x = 1,124.88 × 442
  4. Step 4: Simplify right side
    750x = 497,196.96
  5. Step 5: Solve for x
    x = 497,196.96/750
  6. Step 6: Final answer
    x = 662.93

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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.