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Finding the Fourth Proportional to 661.20, 987.60 and 564

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Solution

The fourth proportional to 661.20, 987.60 and 564 is: 842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.20 : 987.60 = 564 : x
  2. Step 2: Convert to fraction form
    661.20/987.60 = 564/x
  3. Step 3: Cross multiply
    661.20x = 987.60 × 564
  4. Step 4: Simplify right side
    661.20x = 557,006.40
  5. Step 5: Solve for x
    x = 557,006.40/661.20
  6. Step 6: Final answer
    x = 842.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.