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Finding the Fourth Proportional to 1,585.34, 2,378.24 and 489.80

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Solution

The fourth proportional to 1,585.34, 2,378.24 and 489.80 is: 734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.34 : 2,378.24 = 489.80 : x
  2. Step 2: Convert to fraction form
    1,585.34/2,378.24 = 489.80/x
  3. Step 3: Cross multiply
    1,585.34x = 2,378.24 × 489.80
  4. Step 4: Simplify right side
    1,585.34x = 1,164,860.73
  5. Step 5: Solve for x
    x = 1,164,860.73/1,585.34
  6. Step 6: Final answer
    x = 734.77

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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.