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Finding the Fourth Proportional to 901.92, 1,244.48 and 509.06

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Solution

The fourth proportional to 901.92, 1,244.48 and 509.06 is: 702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.92 : 1,244.48 = 509.06 : x
  2. Step 2: Convert to fraction form
    901.92/1,244.48 = 509.06/x
  3. Step 3: Cross multiply
    901.92x = 1,244.48 × 509.06
  4. Step 4: Simplify right side
    901.92x = 633,514.99
  5. Step 5: Solve for x
    x = 633,514.99/901.92
  6. Step 6: Final answer
    x = 702.41

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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.