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Finding the Fourth Proportional to 1,600.16, 2,400.55 and 489.65

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Solution

The fourth proportional to 1,600.16, 2,400.55 and 489.65 is: 734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.16 : 2,400.55 = 489.65 : x
  2. Step 2: Convert to fraction form
    1,600.16/2,400.55 = 489.65/x
  3. Step 3: Cross multiply
    1,600.16x = 2,400.55 × 489.65
  4. Step 4: Simplify right side
    1,600.16x = 1,175,436.53
  5. Step 5: Solve for x
    x = 1,175,436.53/1,600.16
  6. Step 6: Final answer
    x = 734.57

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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.