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Finding the Fourth Proportional to 801.84, 1,106.15 and 565.83

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Solution

The fourth proportional to 801.84, 1,106.15 and 565.83 is: 780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.84 : 1,106.15 = 565.83 : x
  2. Step 2: Convert to fraction form
    801.84/1,106.15 = 565.83/x
  3. Step 3: Cross multiply
    801.84x = 1,106.15 × 565.83
  4. Step 4: Simplify right side
    801.84x = 625,894.27
  5. Step 5: Solve for x
    x = 625,894.27/801.84
  6. Step 6: Final answer
    x = 780.57

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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.