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Finding the Fourth Proportional to 1,029.32, 1,542.94 and 515.24

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Solution

The fourth proportional to 1,029.32, 1,542.94 and 515.24 is: 772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.32 : 1,542.94 = 515.24 : x
  2. Step 2: Convert to fraction form
    1,029.32/1,542.94 = 515.24/x
  3. Step 3: Cross multiply
    1,029.32x = 1,542.94 × 515.24
  4. Step 4: Simplify right side
    1,029.32x = 794,984.41
  5. Step 5: Solve for x
    x = 794,984.41/1,029.32
  6. Step 6: Final answer
    x = 772.34

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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.