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Finding the Fourth Proportional to 1,585.27, 2,378.16 and 489.38

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Solution

The fourth proportional to 1,585.27, 2,378.16 and 489.38 is: 734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.27 : 2,378.16 = 489.38 : x
  2. Step 2: Convert to fraction form
    1,585.27/2,378.16 = 489.38/x
  3. Step 3: Cross multiply
    1,585.27x = 2,378.16 × 489.38
  4. Step 4: Simplify right side
    1,585.27x = 1,163,809.60
  5. Step 5: Solve for x
    x = 1,163,809.60/1,585.27
  6. Step 6: Final answer
    x = 734.14

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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.