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Finding the Fourth Proportional to 1,227.66, 1,842.12 and 578.46

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Solution

The fourth proportional to 1,227.66, 1,842.12 and 578.46 is: 867.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.66 : 1,842.12 = 578.46 : x
  2. Step 2: Convert to fraction form
    1,227.66/1,842.12 = 578.46/x
  3. Step 3: Cross multiply
    1,227.66x = 1,842.12 × 578.46
  4. Step 4: Simplify right side
    1,227.66x = 1,065,592.74
  5. Step 5: Solve for x
    x = 1,065,592.74/1,227.66
  6. Step 6: Final answer
    x = 867.99

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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.