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Finding the Fourth Proportional to 680.55, 926.70 and 680.55

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Solution

The fourth proportional to 680.55, 926.70 and 680.55 is: 926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.55 : 926.70 = 680.55 : x
  2. Step 2: Convert to fraction form
    680.55/926.70 = 680.55/x
  3. Step 3: Cross multiply
    680.55x = 926.70 × 680.55
  4. Step 4: Simplify right side
    680.55x = 630,665.69
  5. Step 5: Solve for x
    x = 630,665.69/680.55
  6. Step 6: Final answer
    x = 926.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.