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Finding the Fourth Proportional to 1,585.29, 2,377.71 and 489.55

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Solution

The fourth proportional to 1,585.29, 2,377.71 and 489.55 is: 734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.29 : 2,377.71 = 489.55 : x
  2. Step 2: Convert to fraction form
    1,585.29/2,377.71 = 489.55/x
  3. Step 3: Cross multiply
    1,585.29x = 2,377.71 × 489.55
  4. Step 4: Simplify right side
    1,585.29x = 1,164,007.93
  5. Step 5: Solve for x
    x = 1,164,007.93/1,585.29
  6. Step 6: Final answer
    x = 734.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.