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Finding the Fourth Proportional to 1,660.78, 2,490.60 and 564.88

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Solution

The fourth proportional to 1,660.78, 2,490.60 and 564.88 is: 847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.78 : 2,490.60 = 564.88 : x
  2. Step 2: Convert to fraction form
    1,660.78/2,490.60 = 564.88/x
  3. Step 3: Cross multiply
    1,660.78x = 2,490.60 × 564.88
  4. Step 4: Simplify right side
    1,660.78x = 1,406,890.13
  5. Step 5: Solve for x
    x = 1,406,890.13/1,660.78
  6. Step 6: Final answer
    x = 847.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.