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Finding the Fourth Proportional to 1,108.64, 1,663.18 and 415.29

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Solution

The fourth proportional to 1,108.64, 1,663.18 and 415.29 is: 623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.64 : 1,663.18 = 415.29 : x
  2. Step 2: Convert to fraction form
    1,108.64/1,663.18 = 415.29/x
  3. Step 3: Cross multiply
    1,108.64x = 1,663.18 × 415.29
  4. Step 4: Simplify right side
    1,108.64x = 690,694.75
  5. Step 5: Solve for x
    x = 690,694.75/1,108.64
  6. Step 6: Final answer
    x = 623.01

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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.