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Finding the Fourth Proportional to 1,578.69, 2,366.44 and 652.97

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Solution

The fourth proportional to 1,578.69, 2,366.44 and 652.97 is: 978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.69 : 2,366.44 = 652.97 : x
  2. Step 2: Convert to fraction form
    1,578.69/2,366.44 = 652.97/x
  3. Step 3: Cross multiply
    1,578.69x = 2,366.44 × 652.97
  4. Step 4: Simplify right side
    1,578.69x = 1,545,214.33
  5. Step 5: Solve for x
    x = 1,545,214.33/1,578.69
  6. Step 6: Final answer
    x = 978.80

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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.