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Finding the Fourth Proportional to 872.38, 1,203.48 and 557.49

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Solution

The fourth proportional to 872.38, 1,203.48 and 557.49 is: 769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.38 : 1,203.48 = 557.49 : x
  2. Step 2: Convert to fraction form
    872.38/1,203.48 = 557.49/x
  3. Step 3: Cross multiply
    872.38x = 1,203.48 × 557.49
  4. Step 4: Simplify right side
    872.38x = 670,928.07
  5. Step 5: Solve for x
    x = 670,928.07/872.38
  6. Step 6: Final answer
    x = 769.08

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1.5x scale

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.