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Finding the Fourth Proportional to 876.48, 1,209.88 and 566

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Solution

The fourth proportional to 876.48, 1,209.88 and 566 is: 781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.48 : 1,209.88 = 566 : x
  2. Step 2: Convert to fraction form
    876.48/1,209.88 = 566/x
  3. Step 3: Cross multiply
    876.48x = 1,209.88 × 566
  4. Step 4: Simplify right side
    876.48x = 684,792.08
  5. Step 5: Solve for x
    x = 684,792.08/876.48
  6. Step 6: Final answer
    x = 781.30

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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.