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Finding the Fourth Proportional to 1,110.18, 1,532.17 and 638.09

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Solution

The fourth proportional to 1,110.18, 1,532.17 and 638.09 is: 880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.18 : 1,532.17 = 638.09 : x
  2. Step 2: Convert to fraction form
    1,110.18/1,532.17 = 638.09/x
  3. Step 3: Cross multiply
    1,110.18x = 1,532.17 × 638.09
  4. Step 4: Simplify right side
    1,110.18x = 977,665.19
  5. Step 5: Solve for x
    x = 977,665.19/1,110.18
  6. Step 6: Final answer
    x = 880.64

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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.