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Finding the Fourth Proportional to 1,112.49, 1,535.85 and 739.76

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Solution

The fourth proportional to 1,112.49, 1,535.85 and 739.76 is: 1,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.49 : 1,535.85 = 739.76 : x
  2. Step 2: Convert to fraction form
    1,112.49/1,535.85 = 739.76/x
  3. Step 3: Cross multiply
    1,112.49x = 1,535.85 × 739.76
  4. Step 4: Simplify right side
    1,112.49x = 1,136,152.72
  5. Step 5: Solve for x
    x = 1,136,152.72/1,112.49
  6. Step 6: Final answer
    x = 1,021.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.