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Finding the Fourth Proportional to 929.92, 1,395.79 and 565.42

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Solution

The fourth proportional to 929.92, 1,395.79 and 565.42 is: 848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.92 : 1,395.79 = 565.42 : x
  2. Step 2: Convert to fraction form
    929.92/1,395.79 = 565.42/x
  3. Step 3: Cross multiply
    929.92x = 1,395.79 × 565.42
  4. Step 4: Simplify right side
    929.92x = 789,202.68
  5. Step 5: Solve for x
    x = 789,202.68/929.92
  6. Step 6: Final answer
    x = 848.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.