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Finding the Fourth Proportional to 801.87, 1,106.18 and 553.33

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Solution

The fourth proportional to 801.87, 1,106.18 and 553.33 is: 763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.87 : 1,106.18 = 553.33 : x
  2. Step 2: Convert to fraction form
    801.87/1,106.18 = 553.33/x
  3. Step 3: Cross multiply
    801.87x = 1,106.18 × 553.33
  4. Step 4: Simplify right side
    801.87x = 612,084.83
  5. Step 5: Solve for x
    x = 612,084.83/801.87
  6. Step 6: Final answer
    x = 763.32

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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.