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Finding the Fourth Proportional to 801.48, 1,106.41 and 565.62

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Solution

The fourth proportional to 801.48, 1,106.41 and 565.62 is: 780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.48 : 1,106.41 = 565.62 : x
  2. Step 2: Convert to fraction form
    801.48/1,106.41 = 565.62/x
  3. Step 3: Cross multiply
    801.48x = 1,106.41 × 565.62
  4. Step 4: Simplify right side
    801.48x = 625,807.62
  5. Step 5: Solve for x
    x = 625,807.62/801.48
  6. Step 6: Final answer
    x = 780.82

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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.