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Finding the Fourth Proportional to 876.68, 1,209.76 and 503.61

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Solution

The fourth proportional to 876.68, 1,209.76 and 503.61 is: 694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.68 : 1,209.76 = 503.61 : x
  2. Step 2: Convert to fraction form
    876.68/1,209.76 = 503.61/x
  3. Step 3: Cross multiply
    876.68x = 1,209.76 × 503.61
  4. Step 4: Simplify right side
    876.68x = 609,247.23
  5. Step 5: Solve for x
    x = 609,247.23/876.68
  6. Step 6: Final answer
    x = 694.95

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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.