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Finding the Fourth Proportional to 1,529.91, 2,294.83 and 489.87

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Solution

The fourth proportional to 1,529.91, 2,294.83 and 489.87 is: 734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.91 : 2,294.83 = 489.87 : x
  2. Step 2: Convert to fraction form
    1,529.91/2,294.83 = 489.87/x
  3. Step 3: Cross multiply
    1,529.91x = 2,294.83 × 489.87
  4. Step 4: Simplify right side
    1,529.91x = 1,124,175.44
  5. Step 5: Solve for x
    x = 1,124,175.44/1,529.91
  6. Step 6: Final answer
    x = 734.80

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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.