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Finding the Fourth Proportional to 1,026, 1,539.09 and 749.21

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Solution

The fourth proportional to 1,026, 1,539.09 and 749.21 is: 1,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026 : 1,539.09 = 749.21 : x
  2. Step 2: Convert to fraction form
    1,026/1,539.09 = 749.21/x
  3. Step 3: Cross multiply
    1,026x = 1,539.09 × 749.21
  4. Step 4: Simplify right side
    1,026x = 1,153,093.92
  5. Step 5: Solve for x
    x = 1,153,093.92/1,026
  6. Step 6: Final answer
    x = 1,123.87

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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.