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Finding the Fourth Proportional to 1,154.48, 1,721.78 and 982.24

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Solution

The fourth proportional to 1,154.48, 1,721.78 and 982.24 is: 1,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.48 : 1,721.78 = 982.24 : x
  2. Step 2: Convert to fraction form
    1,154.48/1,721.78 = 982.24/x
  3. Step 3: Cross multiply
    1,154.48x = 1,721.78 × 982.24
  4. Step 4: Simplify right side
    1,154.48x = 1,691,201.19
  5. Step 5: Solve for x
    x = 1,691,201.19/1,154.48
  6. Step 6: Final answer
    x = 1,464.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.