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Finding the Fourth Proportional to 880.68, 1,215.45 and 565.83

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Solution

The fourth proportional to 880.68, 1,215.45 and 565.83 is: 780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.68 : 1,215.45 = 565.83 : x
  2. Step 2: Convert to fraction form
    880.68/1,215.45 = 565.83/x
  3. Step 3: Cross multiply
    880.68x = 1,215.45 × 565.83
  4. Step 4: Simplify right side
    880.68x = 687,738.07
  5. Step 5: Solve for x
    x = 687,738.07/880.68
  6. Step 6: Final answer
    x = 780.92

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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.