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Finding the Fourth Proportional to 1,578.43, 2,368.01 and 482.91

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Solution

The fourth proportional to 1,578.43, 2,368.01 and 482.91 is: 724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.43 : 2,368.01 = 482.91 : x
  2. Step 2: Convert to fraction form
    1,578.43/2,368.01 = 482.91/x
  3. Step 3: Cross multiply
    1,578.43x = 2,368.01 × 482.91
  4. Step 4: Simplify right side
    1,578.43x = 1,143,535.71
  5. Step 5: Solve for x
    x = 1,143,535.71/1,578.43
  6. Step 6: Final answer
    x = 724.48

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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.