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Finding the Fourth Proportional to 757.64, 1,045.53 and 426.12

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Solution

The fourth proportional to 757.64, 1,045.53 and 426.12 is: 588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.64 : 1,045.53 = 426.12 : x
  2. Step 2: Convert to fraction form
    757.64/1,045.53 = 426.12/x
  3. Step 3: Cross multiply
    757.64x = 1,045.53 × 426.12
  4. Step 4: Simplify right side
    757.64x = 445,521.24
  5. Step 5: Solve for x
    x = 445,521.24/757.64
  6. Step 6: Final answer
    x = 588.04

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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.