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Finding the Fourth Proportional to 1,110.28, 1,532.05 and 662.17

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Solution

The fourth proportional to 1,110.28, 1,532.05 and 662.17 is: 913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.28 : 1,532.05 = 662.17 : x
  2. Step 2: Convert to fraction form
    1,110.28/1,532.05 = 662.17/x
  3. Step 3: Cross multiply
    1,110.28x = 1,532.05 × 662.17
  4. Step 4: Simplify right side
    1,110.28x = 1,014,478.54
  5. Step 5: Solve for x
    x = 1,014,478.54/1,110.28
  6. Step 6: Final answer
    x = 913.72

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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.