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Finding the Fourth Proportional to 1,218.80, 1,828.68 and 732.20

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Solution

The fourth proportional to 1,218.80, 1,828.68 and 732.20 is: 1,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.80 : 1,828.68 = 732.20 : x
  2. Step 2: Convert to fraction form
    1,218.80/1,828.68 = 732.20/x
  3. Step 3: Cross multiply
    1,218.80x = 1,828.68 × 732.20
  4. Step 4: Simplify right side
    1,218.80x = 1,338,959.50
  5. Step 5: Solve for x
    x = 1,338,959.50/1,218.80
  6. Step 6: Final answer
    x = 1,098.59

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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.