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Finding the Fourth Proportional to 876.46, 1,209 and 565.96

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Solution

The fourth proportional to 876.46, 1,209 and 565.96 is: 780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.46 : 1,209 = 565.96 : x
  2. Step 2: Convert to fraction form
    876.46/1,209 = 565.96/x
  3. Step 3: Cross multiply
    876.46x = 1,209 × 565.96
  4. Step 4: Simplify right side
    876.46x = 684,242.62
  5. Step 5: Solve for x
    x = 684,242.62/876.46
  6. Step 6: Final answer
    x = 780.69

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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.