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Finding the Fourth Proportional to 749.36, 1,124.61 and 489.29

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Solution

The fourth proportional to 749.36, 1,124.61 and 489.29 is: 734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.36 : 1,124.61 = 489.29 : x
  2. Step 2: Convert to fraction form
    749.36/1,124.61 = 489.29/x
  3. Step 3: Cross multiply
    749.36x = 1,124.61 × 489.29
  4. Step 4: Simplify right side
    749.36x = 550,254.80
  5. Step 5: Solve for x
    x = 550,254.80/749.36
  6. Step 6: Final answer
    x = 734.30

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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.