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Finding the Fourth Proportional to 801.90, 1,105.35 and 654.28

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Solution

The fourth proportional to 801.90, 1,105.35 and 654.28 is: 901.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.90 : 1,105.35 = 654.28 : x
  2. Step 2: Convert to fraction form
    801.90/1,105.35 = 654.28/x
  3. Step 3: Cross multiply
    801.90x = 1,105.35 × 654.28
  4. Step 4: Simplify right side
    801.90x = 723,203.18
  5. Step 5: Solve for x
    x = 723,203.18/801.90
  6. Step 6: Final answer
    x = 901.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.