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Finding the Fourth Proportional to 1,077.20, 1,615.95 and 418.95

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Solution

The fourth proportional to 1,077.20, 1,615.95 and 418.95 is: 628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.20 : 1,615.95 = 418.95 : x
  2. Step 2: Convert to fraction form
    1,077.20/1,615.95 = 418.95/x
  3. Step 3: Cross multiply
    1,077.20x = 1,615.95 × 418.95
  4. Step 4: Simplify right side
    1,077.20x = 676,997.71
  5. Step 5: Solve for x
    x = 676,997.71/1,077.20
  6. Step 6: Final answer
    x = 628.48

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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.