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Finding the Fourth Proportional to 1,584.52, 2,377.03 and 488.62

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Solution

The fourth proportional to 1,584.52, 2,377.03 and 488.62 is: 733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.52 : 2,377.03 = 488.62 : x
  2. Step 2: Convert to fraction form
    1,584.52/2,377.03 = 488.62/x
  3. Step 3: Cross multiply
    1,584.52x = 2,377.03 × 488.62
  4. Step 4: Simplify right side
    1,584.52x = 1,161,470.34
  5. Step 5: Solve for x
    x = 1,161,470.34/1,584.52
  6. Step 6: Final answer
    x = 733.01

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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.