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Finding the Fourth Proportional to 901.97, 1,244.84 and 509.12

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Solution

The fourth proportional to 901.97, 1,244.84 and 509.12 is: 702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.97 : 1,244.84 = 509.12 : x
  2. Step 2: Convert to fraction form
    901.97/1,244.84 = 509.12/x
  3. Step 3: Cross multiply
    901.97x = 1,244.84 × 509.12
  4. Step 4: Simplify right side
    901.97x = 633,768.84
  5. Step 5: Solve for x
    x = 633,768.84/901.97
  6. Step 6: Final answer
    x = 702.65

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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.