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Finding the Fourth Proportional to 1,482.90, 2,224.38 and 387.24

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Solution

The fourth proportional to 1,482.90, 2,224.38 and 387.24 is: 580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.90 : 2,224.38 = 387.24 : x
  2. Step 2: Convert to fraction form
    1,482.90/2,224.38 = 387.24/x
  3. Step 3: Cross multiply
    1,482.90x = 2,224.38 × 387.24
  4. Step 4: Simplify right side
    1,482.90x = 861,368.91
  5. Step 5: Solve for x
    x = 861,368.91/1,482.90
  6. Step 6: Final answer
    x = 580.87

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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.