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Finding the Fourth Proportional to 902.46, 1,244.94 and 553.34

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Solution

The fourth proportional to 902.46, 1,244.94 and 553.34 is: 763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.46 : 1,244.94 = 553.34 : x
  2. Step 2: Convert to fraction form
    902.46/1,244.94 = 553.34/x
  3. Step 3: Cross multiply
    902.46x = 1,244.94 × 553.34
  4. Step 4: Simplify right side
    902.46x = 688,875.10
  5. Step 5: Solve for x
    x = 688,875.10/902.46
  6. Step 6: Final answer
    x = 763.33

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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.