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Finding the Fourth Proportional to 892.56, 1,232.28 and 578.10

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Solution

The fourth proportional to 892.56, 1,232.28 and 578.10 is: 798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.56 : 1,232.28 = 578.10 : x
  2. Step 2: Convert to fraction form
    892.56/1,232.28 = 578.10/x
  3. Step 3: Cross multiply
    892.56x = 1,232.28 × 578.10
  4. Step 4: Simplify right side
    892.56x = 712,381.07
  5. Step 5: Solve for x
    x = 712,381.07/892.56
  6. Step 6: Final answer
    x = 798.13

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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.