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Finding the Fourth Proportional to 801.75, 1,106.31 and 470.10

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Solution

The fourth proportional to 801.75, 1,106.31 and 470.10 is: 648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.75 : 1,106.31 = 470.10 : x
  2. Step 2: Convert to fraction form
    801.75/1,106.31 = 470.10/x
  3. Step 3: Cross multiply
    801.75x = 1,106.31 × 470.10
  4. Step 4: Simplify right side
    801.75x = 520,076.33
  5. Step 5: Solve for x
    x = 520,076.33/801.75
  6. Step 6: Final answer
    x = 648.68

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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.