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Finding the Fourth Proportional to 876.32, 1,209.12 and 565.76

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Solution

The fourth proportional to 876.32, 1,209.12 and 565.76 is: 780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.32 : 1,209.12 = 565.76 : x
  2. Step 2: Convert to fraction form
    876.32/1,209.12 = 565.76/x
  3. Step 3: Cross multiply
    876.32x = 1,209.12 × 565.76
  4. Step 4: Simplify right side
    876.32x = 684,071.73
  5. Step 5: Solve for x
    x = 684,071.73/876.32
  6. Step 6: Final answer
    x = 780.62

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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.