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Finding the Fourth Proportional to 901.78, 1,244.32 and 503.39

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Solution

The fourth proportional to 901.78, 1,244.32 and 503.39 is: 694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.78 : 1,244.32 = 503.39 : x
  2. Step 2: Convert to fraction form
    901.78/1,244.32 = 503.39/x
  3. Step 3: Cross multiply
    901.78x = 1,244.32 × 503.39
  4. Step 4: Simplify right side
    901.78x = 626,378.24
  5. Step 5: Solve for x
    x = 626,378.24/901.78
  6. Step 6: Final answer
    x = 694.61

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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.