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Finding the Fourth Proportional to 1,120.30, 1,677.85 and 887.65

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Solution

The fourth proportional to 1,120.30, 1,677.85 and 887.65 is: 1,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.30 : 1,677.85 = 887.65 : x
  2. Step 2: Convert to fraction form
    1,120.30/1,677.85 = 887.65/x
  3. Step 3: Cross multiply
    1,120.30x = 1,677.85 × 887.65
  4. Step 4: Simplify right side
    1,120.30x = 1,489,343.55
  5. Step 5: Solve for x
    x = 1,489,343.55/1,120.30
  6. Step 6: Final answer
    x = 1,329.41

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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.