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Finding the Fourth Proportional to 801.92, 1,106.56 and 452.54

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Solution

The fourth proportional to 801.92, 1,106.56 and 452.54 is: 624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.92 : 1,106.56 = 452.54 : x
  2. Step 2: Convert to fraction form
    801.92/1,106.56 = 452.54/x
  3. Step 3: Cross multiply
    801.92x = 1,106.56 × 452.54
  4. Step 4: Simplify right side
    801.92x = 500,762.66
  5. Step 5: Solve for x
    x = 500,762.66/801.92
  6. Step 6: Final answer
    x = 624.45

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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.