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Finding the Fourth Proportional to 1,565.68, 2,160.50 and 867.04

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Solution

The fourth proportional to 1,565.68, 2,160.50 and 867.04 is: 1,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.68 : 2,160.50 = 867.04 : x
  2. Step 2: Convert to fraction form
    1,565.68/2,160.50 = 867.04/x
  3. Step 3: Cross multiply
    1,565.68x = 2,160.50 × 867.04
  4. Step 4: Simplify right side
    1,565.68x = 1,873,239.92
  5. Step 5: Solve for x
    x = 1,873,239.92/1,565.68
  6. Step 6: Final answer
    x = 1,196.44

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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.