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Finding the Fourth Proportional to 876.74, 1,314.56 and 414.24

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Solution

The fourth proportional to 876.74, 1,314.56 and 414.24 is: 621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.74 : 1,314.56 = 414.24 : x
  2. Step 2: Convert to fraction form
    876.74/1,314.56 = 414.24/x
  3. Step 3: Cross multiply
    876.74x = 1,314.56 × 414.24
  4. Step 4: Simplify right side
    876.74x = 544,543.33
  5. Step 5: Solve for x
    x = 544,543.33/876.74
  6. Step 6: Final answer
    x = 621.10

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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.