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Finding the Fourth Proportional to 876.76, 1,209.94 and 566.80

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Solution

The fourth proportional to 876.76, 1,209.94 and 566.80 is: 782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.76 : 1,209.94 = 566.80 : x
  2. Step 2: Convert to fraction form
    876.76/1,209.94 = 566.80/x
  3. Step 3: Cross multiply
    876.76x = 1,209.94 × 566.80
  4. Step 4: Simplify right side
    876.76x = 685,793.99
  5. Step 5: Solve for x
    x = 685,793.99/876.76
  6. Step 6: Final answer
    x = 782.19

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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.