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Finding the Fourth Proportional to 887.96, 1,225.33 and 489.69

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Solution

The fourth proportional to 887.96, 1,225.33 and 489.69 is: 675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.96 : 1,225.33 = 489.69 : x
  2. Step 2: Convert to fraction form
    887.96/1,225.33 = 489.69/x
  3. Step 3: Cross multiply
    887.96x = 1,225.33 × 489.69
  4. Step 4: Simplify right side
    887.96x = 600,025.72
  5. Step 5: Solve for x
    x = 600,025.72/887.96
  6. Step 6: Final answer
    x = 675.74

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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.