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Finding the Fourth Proportional to 1,026.24, 1,537.66 and 752.44

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Solution

The fourth proportional to 1,026.24, 1,537.66 and 752.44 is: 1,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.24 : 1,537.66 = 752.44 : x
  2. Step 2: Convert to fraction form
    1,026.24/1,537.66 = 752.44/x
  3. Step 3: Cross multiply
    1,026.24x = 1,537.66 × 752.44
  4. Step 4: Simplify right side
    1,026.24x = 1,156,996.89
  5. Step 5: Solve for x
    x = 1,156,996.89/1,026.24
  6. Step 6: Final answer
    x = 1,127.41

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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.