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Finding the Fourth Proportional to 878, 1,211.64 and 568.04

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Solution

The fourth proportional to 878, 1,211.64 and 568.04 is: 783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    878 : 1,211.64 = 568.04 : x
  2. Step 2: Convert to fraction form
    878/1,211.64 = 568.04/x
  3. Step 3: Cross multiply
    878x = 1,211.64 × 568.04
  4. Step 4: Simplify right side
    878x = 688,259.99
  5. Step 5: Solve for x
    x = 688,259.99/878
  6. Step 6: Final answer
    x = 783.90

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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.