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Finding the Fourth Proportional to 1,585.35, 2,378.06 and 489.72

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Solution

The fourth proportional to 1,585.35, 2,378.06 and 489.72 is: 734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.35 : 2,378.06 = 489.72 : x
  2. Step 2: Convert to fraction form
    1,585.35/2,378.06 = 489.72/x
  3. Step 3: Cross multiply
    1,585.35x = 2,378.06 × 489.72
  4. Step 4: Simplify right side
    1,585.35x = 1,164,581.09
  5. Step 5: Solve for x
    x = 1,164,581.09/1,585.35
  6. Step 6: Final answer
    x = 734.59

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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.