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Finding the Fourth Proportional to 1,108.96, 1,532.40 and 961.12

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Solution

The fourth proportional to 1,108.96, 1,532.40 and 961.12 is: 1,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.96 : 1,532.40 = 961.12 : x
  2. Step 2: Convert to fraction form
    1,108.96/1,532.40 = 961.12/x
  3. Step 3: Cross multiply
    1,108.96x = 1,532.40 × 961.12
  4. Step 4: Simplify right side
    1,108.96x = 1,472,820.29
  5. Step 5: Solve for x
    x = 1,472,820.29/1,108.96
  6. Step 6: Final answer
    x = 1,328.11

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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.