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Finding the Fourth Proportional to 1,565.97, 2,349 and 470.22

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Solution

The fourth proportional to 1,565.97, 2,349 and 470.22 is: 705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.97 : 2,349 = 470.22 : x
  2. Step 2: Convert to fraction form
    1,565.97/2,349 = 470.22/x
  3. Step 3: Cross multiply
    1,565.97x = 2,349 × 470.22
  4. Step 4: Simplify right side
    1,565.97x = 1,104,546.78
  5. Step 5: Solve for x
    x = 1,104,546.78/1,565.97
  6. Step 6: Final answer
    x = 705.34

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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.