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Finding the Fourth Proportional to 757.46, 1,045.32 and 425.95

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Solution

The fourth proportional to 757.46, 1,045.32 and 425.95 is: 587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.46 : 1,045.32 = 425.95 : x
  2. Step 2: Convert to fraction form
    757.46/1,045.32 = 425.95/x
  3. Step 3: Cross multiply
    757.46x = 1,045.32 × 425.95
  4. Step 4: Simplify right side
    757.46x = 445,254.05
  5. Step 5: Solve for x
    x = 445,254.05/757.46
  6. Step 6: Final answer
    x = 587.83

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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.