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Finding the Fourth Proportional to 944.52, 1,415.22 and 578.54

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Solution

The fourth proportional to 944.52, 1,415.22 and 578.54 is: 866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.52 : 1,415.22 = 578.54 : x
  2. Step 2: Convert to fraction form
    944.52/1,415.22 = 578.54/x
  3. Step 3: Cross multiply
    944.52x = 1,415.22 × 578.54
  4. Step 4: Simplify right side
    944.52x = 818,763.83
  5. Step 5: Solve for x
    x = 818,763.83/944.52
  6. Step 6: Final answer
    x = 866.85

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Why These Related Problems?

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