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Finding the Fourth Proportional to 876.98, 1,315.68 and 414.74

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Solution

The fourth proportional to 876.98, 1,315.68 and 414.74 is: 622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.98 : 1,315.68 = 414.74 : x
  2. Step 2: Convert to fraction form
    876.98/1,315.68 = 414.74/x
  3. Step 3: Cross multiply
    876.98x = 1,315.68 × 414.74
  4. Step 4: Simplify right side
    876.98x = 545,665.12
  5. Step 5: Solve for x
    x = 545,665.12/876.98
  6. Step 6: Final answer
    x = 622.21

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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.