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Finding the Fourth Proportional to 1,507.52, 2,259.84 and 642.32

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Solution

The fourth proportional to 1,507.52, 2,259.84 and 642.32 is: 962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.52 : 2,259.84 = 642.32 : x
  2. Step 2: Convert to fraction form
    1,507.52/2,259.84 = 642.32/x
  3. Step 3: Cross multiply
    1,507.52x = 2,259.84 × 642.32
  4. Step 4: Simplify right side
    1,507.52x = 1,451,540.43
  5. Step 5: Solve for x
    x = 1,451,540.43/1,507.52
  6. Step 6: Final answer
    x = 962.87

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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.