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Finding the Fourth Proportional to 1,486.76, 2,229.94 and 391.20

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Solution

The fourth proportional to 1,486.76, 2,229.94 and 391.20 is: 586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.76 : 2,229.94 = 391.20 : x
  2. Step 2: Convert to fraction form
    1,486.76/2,229.94 = 391.20/x
  3. Step 3: Cross multiply
    1,486.76x = 2,229.94 × 391.20
  4. Step 4: Simplify right side
    1,486.76x = 872,352.53
  5. Step 5: Solve for x
    x = 872,352.53/1,486.76
  6. Step 6: Final answer
    x = 586.75

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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.