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Finding the Fourth Proportional to 876.47, 1,314.53 and 414.05

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Solution

The fourth proportional to 876.47, 1,314.53 and 414.05 is: 620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.47 : 1,314.53 = 414.05 : x
  2. Step 2: Convert to fraction form
    876.47/1,314.53 = 414.05/x
  3. Step 3: Cross multiply
    876.47x = 1,314.53 × 414.05
  4. Step 4: Simplify right side
    876.47x = 544,279.08
  5. Step 5: Solve for x
    x = 544,279.08/876.47
  6. Step 6: Final answer
    x = 620.99

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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.