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Finding the Fourth Proportional to 1,052.47, 1,578.16 and 613.86

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Solution

The fourth proportional to 1,052.47, 1,578.16 and 613.86 is: 920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.47 : 1,578.16 = 613.86 : x
  2. Step 2: Convert to fraction form
    1,052.47/1,578.16 = 613.86/x
  3. Step 3: Cross multiply
    1,052.47x = 1,578.16 × 613.86
  4. Step 4: Simplify right side
    1,052.47x = 968,769.30
  5. Step 5: Solve for x
    x = 968,769.30/1,052.47
  6. Step 6: Final answer
    x = 920.47

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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.