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Finding the Fourth Proportional to 1,112.42, 1,535.78 and 739.92

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Solution

The fourth proportional to 1,112.42, 1,535.78 and 739.92 is: 1,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.42 : 1,535.78 = 739.92 : x
  2. Step 2: Convert to fraction form
    1,112.42/1,535.78 = 739.92/x
  3. Step 3: Cross multiply
    1,112.42x = 1,535.78 × 739.92
  4. Step 4: Simplify right side
    1,112.42x = 1,136,354.34
  5. Step 5: Solve for x
    x = 1,136,354.34/1,112.42
  6. Step 6: Final answer
    x = 1,021.52

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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.