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Finding the Fourth Proportional to 902.64, 1,246.12 and 553.52

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Solution

The fourth proportional to 902.64, 1,246.12 and 553.52 is: 764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.64 : 1,246.12 = 553.52 : x
  2. Step 2: Convert to fraction form
    902.64/1,246.12 = 553.52/x
  3. Step 3: Cross multiply
    902.64x = 1,246.12 × 553.52
  4. Step 4: Simplify right side
    902.64x = 689,752.34
  5. Step 5: Solve for x
    x = 689,752.34/902.64
  6. Step 6: Final answer
    x = 764.15

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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.