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Finding the Fourth Proportional to 922.76, 1,273.14 and 568.56

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Solution

The fourth proportional to 922.76, 1,273.14 and 568.56 is: 784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.76 : 1,273.14 = 568.56 : x
  2. Step 2: Convert to fraction form
    922.76/1,273.14 = 568.56/x
  3. Step 3: Cross multiply
    922.76x = 1,273.14 × 568.56
  4. Step 4: Simplify right side
    922.76x = 723,856.48
  5. Step 5: Solve for x
    x = 723,856.48/922.76
  6. Step 6: Final answer
    x = 784.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.