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Finding the Fourth Proportional to 1,102.96, 1,657.92 and 616.96

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Solution

The fourth proportional to 1,102.96, 1,657.92 and 616.96 is: 927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.96 : 1,657.92 = 616.96 : x
  2. Step 2: Convert to fraction form
    1,102.96/1,657.92 = 616.96/x
  3. Step 3: Cross multiply
    1,102.96x = 1,657.92 × 616.96
  4. Step 4: Simplify right side
    1,102.96x = 1,022,870.32
  5. Step 5: Solve for x
    x = 1,022,870.32/1,102.96
  6. Step 6: Final answer
    x = 927.39

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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.