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Finding the Fourth Proportional to 1,565.91, 2,349.36 and 642.03

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Solution

The fourth proportional to 1,565.91, 2,349.36 and 642.03 is: 963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.91 : 2,349.36 = 642.03 : x
  2. Step 2: Convert to fraction form
    1,565.91/2,349.36 = 642.03/x
  3. Step 3: Cross multiply
    1,565.91x = 2,349.36 × 642.03
  4. Step 4: Simplify right side
    1,565.91x = 1,508,359.60
  5. Step 5: Solve for x
    x = 1,508,359.60/1,565.91
  6. Step 6: Final answer
    x = 963.25

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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.