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Finding the Fourth Proportional to 1,052.68, 1,578.30 and 565.24

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Solution

The fourth proportional to 1,052.68, 1,578.30 and 565.24 is: 847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.68 : 1,578.30 = 565.24 : x
  2. Step 2: Convert to fraction form
    1,052.68/1,578.30 = 565.24/x
  3. Step 3: Cross multiply
    1,052.68x = 1,578.30 × 565.24
  4. Step 4: Simplify right side
    1,052.68x = 892,118.29
  5. Step 5: Solve for x
    x = 892,118.29/1,052.68
  6. Step 6: Final answer
    x = 847.47

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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.