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Finding the Fourth Proportional to 777.67, 1,073.18 and 568.55

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Solution

The fourth proportional to 777.67, 1,073.18 and 568.55 is: 784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.67 : 1,073.18 = 568.55 : x
  2. Step 2: Convert to fraction form
    777.67/1,073.18 = 568.55/x
  3. Step 3: Cross multiply
    777.67x = 1,073.18 × 568.55
  4. Step 4: Simplify right side
    777.67x = 610,160.59
  5. Step 5: Solve for x
    x = 610,160.59/777.67
  6. Step 6: Final answer
    x = 784.60

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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.