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Finding the Fourth Proportional to 901.44, 1,349.19 and 489.51

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Solution

The fourth proportional to 901.44, 1,349.19 and 489.51 is: 732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.44 : 1,349.19 = 489.51 : x
  2. Step 2: Convert to fraction form
    901.44/1,349.19 = 489.51/x
  3. Step 3: Cross multiply
    901.44x = 1,349.19 × 489.51
  4. Step 4: Simplify right side
    901.44x = 660,442.00
  5. Step 5: Solve for x
    x = 660,442.00/901.44
  6. Step 6: Final answer
    x = 732.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.