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Finding the Fourth Proportional to 1,099.60, 1,517.34 and 657.66

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Solution

The fourth proportional to 1,099.60, 1,517.34 and 657.66 is: 907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.60 : 1,517.34 = 657.66 : x
  2. Step 2: Convert to fraction form
    1,099.60/1,517.34 = 657.66/x
  3. Step 3: Cross multiply
    1,099.60x = 1,517.34 × 657.66
  4. Step 4: Simplify right side
    1,099.60x = 997,893.82
  5. Step 5: Solve for x
    x = 997,893.82/1,099.60
  6. Step 6: Final answer
    x = 907.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.