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Finding the Fourth Proportional to 1,578.72, 2,366.64 and 552.16

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Solution

The fourth proportional to 1,578.72, 2,366.64 and 552.16 is: 827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.72 : 2,366.64 = 552.16 : x
  2. Step 2: Convert to fraction form
    1,578.72/2,366.64 = 552.16/x
  3. Step 3: Cross multiply
    1,578.72x = 2,366.64 × 552.16
  4. Step 4: Simplify right side
    1,578.72x = 1,306,763.94
  5. Step 5: Solve for x
    x = 1,306,763.94/1,578.72
  6. Step 6: Final answer
    x = 827.74

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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.