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Finding the Fourth Proportional to 876.66, 1,209.85 and 522.49

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Solution

The fourth proportional to 876.66, 1,209.85 and 522.49 is: 721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.66 : 1,209.85 = 522.49 : x
  2. Step 2: Convert to fraction form
    876.66/1,209.85 = 522.49/x
  3. Step 3: Cross multiply
    876.66x = 1,209.85 × 522.49
  4. Step 4: Simplify right side
    876.66x = 632,134.53
  5. Step 5: Solve for x
    x = 632,134.53/876.66
  6. Step 6: Final answer
    x = 721.07

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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.