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Finding the Fourth Proportional to 876.80, 1,315.20 and 414.77

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Solution

The fourth proportional to 876.80, 1,315.20 and 414.77 is: 622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.80 : 1,315.20 = 414.77 : x
  2. Step 2: Convert to fraction form
    876.80/1,315.20 = 414.77/x
  3. Step 3: Cross multiply
    876.80x = 1,315.20 × 414.77
  4. Step 4: Simplify right side
    876.80x = 545,498.93
  5. Step 5: Solve for x
    x = 545,498.93/876.80
  6. Step 6: Final answer
    x = 622.15

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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.