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Finding the Fourth Proportional to 1,228.66, 1,839.72 and 741.04

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Solution

The fourth proportional to 1,228.66, 1,839.72 and 741.04 is: 1,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.66 : 1,839.72 = 741.04 : x
  2. Step 2: Convert to fraction form
    1,228.66/1,839.72 = 741.04/x
  3. Step 3: Cross multiply
    1,228.66x = 1,839.72 × 741.04
  4. Step 4: Simplify right side
    1,228.66x = 1,363,306.11
  5. Step 5: Solve for x
    x = 1,363,306.11/1,228.66
  6. Step 6: Final answer
    x = 1,109.59

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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.