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Finding the Fourth Proportional to 1,110.56, 1,532.66 and 638.54

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Solution

The fourth proportional to 1,110.56, 1,532.66 and 638.54 is: 881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.56 : 1,532.66 = 638.54 : x
  2. Step 2: Convert to fraction form
    1,110.56/1,532.66 = 638.54/x
  3. Step 3: Cross multiply
    1,110.56x = 1,532.66 × 638.54
  4. Step 4: Simplify right side
    1,110.56x = 978,653.86
  5. Step 5: Solve for x
    x = 978,653.86/1,110.56
  6. Step 6: Final answer
    x = 881.23

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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.