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Finding the Fourth Proportional to 901.88, 1,244.72 and 552.77

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Solution

The fourth proportional to 901.88, 1,244.72 and 552.77 is: 762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.88 : 1,244.72 = 552.77 : x
  2. Step 2: Convert to fraction form
    901.88/1,244.72 = 552.77/x
  3. Step 3: Cross multiply
    901.88x = 1,244.72 × 552.77
  4. Step 4: Simplify right side
    901.88x = 688,039.03
  5. Step 5: Solve for x
    x = 688,039.03/901.88
  6. Step 6: Final answer
    x = 762.90

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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.