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Finding the Fourth Proportional to 876.74, 1,209.92 and 503.73

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Solution

The fourth proportional to 876.74, 1,209.92 and 503.73 is: 695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.74 : 1,209.92 = 503.73 : x
  2. Step 2: Convert to fraction form
    876.74/1,209.92 = 503.73/x
  3. Step 3: Cross multiply
    876.74x = 1,209.92 × 503.73
  4. Step 4: Simplify right side
    876.74x = 609,470.48
  5. Step 5: Solve for x
    x = 609,470.48/876.74
  6. Step 6: Final answer
    x = 695.16

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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.