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Finding the Fourth Proportional to 1,584.64, 2,377.06 and 489.02

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Solution

The fourth proportional to 1,584.64, 2,377.06 and 489.02 is: 733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.64 : 2,377.06 = 489.02 : x
  2. Step 2: Convert to fraction form
    1,584.64/2,377.06 = 489.02/x
  3. Step 3: Cross multiply
    1,584.64x = 2,377.06 × 489.02
  4. Step 4: Simplify right side
    1,584.64x = 1,162,429.88
  5. Step 5: Solve for x
    x = 1,162,429.88/1,584.64
  6. Step 6: Final answer
    x = 733.56

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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.