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Finding the Fourth Proportional to 757.46, 1,045.15 and 425.88

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Solution

The fourth proportional to 757.46, 1,045.15 and 425.88 is: 587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.46 : 1,045.15 = 425.88 : x
  2. Step 2: Convert to fraction form
    757.46/1,045.15 = 425.88/x
  3. Step 3: Cross multiply
    757.46x = 1,045.15 × 425.88
  4. Step 4: Simplify right side
    757.46x = 445,107.42
  5. Step 5: Solve for x
    x = 445,107.42/757.46
  6. Step 6: Final answer
    x = 587.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.