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Finding the Fourth Proportional to 801.38, 1,104.71 and 564.56

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Solution

The fourth proportional to 801.38, 1,104.71 and 564.56 is: 778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.38 : 1,104.71 = 564.56 : x
  2. Step 2: Convert to fraction form
    801.38/1,104.71 = 564.56/x
  3. Step 3: Cross multiply
    801.38x = 1,104.71 × 564.56
  4. Step 4: Simplify right side
    801.38x = 623,675.08
  5. Step 5: Solve for x
    x = 623,675.08/801.38
  6. Step 6: Final answer
    x = 778.25

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1.5x scale

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.