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Finding the Fourth Proportional to 1,578.18, 2,366.82 and 482.63

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Solution

The fourth proportional to 1,578.18, 2,366.82 and 482.63 is: 723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.18 : 2,366.82 = 482.63 : x
  2. Step 2: Convert to fraction form
    1,578.18/2,366.82 = 482.63/x
  3. Step 3: Cross multiply
    1,578.18x = 2,366.82 × 482.63
  4. Step 4: Simplify right side
    1,578.18x = 1,142,306.47
  5. Step 5: Solve for x
    x = 1,142,306.47/1,578.18
  6. Step 6: Final answer
    x = 723.81

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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.