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Finding the Fourth Proportional to 1,108.59, 1,660.70 and 522.75

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Solution

The fourth proportional to 1,108.59, 1,660.70 and 522.75 is: 783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.59 : 1,660.70 = 522.75 : x
  2. Step 2: Convert to fraction form
    1,108.59/1,660.70 = 522.75/x
  3. Step 3: Cross multiply
    1,108.59x = 1,660.70 × 522.75
  4. Step 4: Simplify right side
    1,108.59x = 868,138.46
  5. Step 5: Solve for x
    x = 868,138.46/1,108.59
  6. Step 6: Final answer
    x = 783.10

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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.