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Finding the Fourth Proportional to 876.34, 1,209.60 and 544.58

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Solution

The fourth proportional to 876.34, 1,209.60 and 544.58 is: 751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.34 : 1,209.60 = 544.58 : x
  2. Step 2: Convert to fraction form
    876.34/1,209.60 = 544.58/x
  3. Step 3: Cross multiply
    876.34x = 1,209.60 × 544.58
  4. Step 4: Simplify right side
    876.34x = 658,723.97
  5. Step 5: Solve for x
    x = 658,723.97/876.34
  6. Step 6: Final answer
    x = 751.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.