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Finding the Fourth Proportional to 876.34, 1,314.60 and 414.00

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Solution

The fourth proportional to 876.34, 1,314.60 and 414.00 is: 621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.34 : 1,314.60 = 414.00 : x
  2. Step 2: Convert to fraction form
    876.34/1,314.60 = 414.00/x
  3. Step 3: Cross multiply
    876.34x = 1,314.60 × 414.00
  4. Step 4: Simplify right side
    876.34x = 544,244.49
  5. Step 5: Solve for x
    x = 544,244.49/876.34
  6. Step 6: Final answer
    x = 621.04

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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.