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Finding the Fourth Proportional to 873.92, 1,309.60 and 565.28

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Solution

The fourth proportional to 873.92, 1,309.60 and 565.28 is: 847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.92 : 1,309.60 = 565.28 : x
  2. Step 2: Convert to fraction form
    873.92/1,309.60 = 565.28/x
  3. Step 3: Cross multiply
    873.92x = 1,309.60 × 565.28
  4. Step 4: Simplify right side
    873.92x = 740,290.69
  5. Step 5: Solve for x
    x = 740,290.69/873.92
  6. Step 6: Final answer
    x = 847.09

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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.