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Finding the Fourth Proportional to 1,146.80, 1,721.40 and 660.80

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Solution

The fourth proportional to 1,146.80, 1,721.40 and 660.80 is: 991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.80 : 1,721.40 = 660.80 : x
  2. Step 2: Convert to fraction form
    1,146.80/1,721.40 = 660.80/x
  3. Step 3: Cross multiply
    1,146.80x = 1,721.40 × 660.80
  4. Step 4: Simplify right side
    1,146.80x = 1,137,501.12
  5. Step 5: Solve for x
    x = 1,137,501.12/1,146.80
  6. Step 6: Final answer
    x = 991.89

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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.