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Finding the Fourth Proportional to 1,108.35, 1,662.87 and 560.24

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Solution

The fourth proportional to 1,108.35, 1,662.87 and 560.24 is: 840.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.35 : 1,662.87 = 560.24 : x
  2. Step 2: Convert to fraction form
    1,108.35/1,662.87 = 560.24/x
  3. Step 3: Cross multiply
    1,108.35x = 1,662.87 × 560.24
  4. Step 4: Simplify right side
    1,108.35x = 931,597.97
  5. Step 5: Solve for x
    x = 931,597.97/1,108.35
  6. Step 6: Final answer
    x = 840.53

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Why These Related Problems?

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