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Finding the Fourth Proportional to 1,112.33, 1,534.99 and 733.76

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Solution

The fourth proportional to 1,112.33, 1,534.99 and 733.76 is: 1,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.33 : 1,534.99 = 733.76 : x
  2. Step 2: Convert to fraction form
    1,112.33/1,534.99 = 733.76/x
  3. Step 3: Cross multiply
    1,112.33x = 1,534.99 × 733.76
  4. Step 4: Simplify right side
    1,112.33x = 1,126,314.26
  5. Step 5: Solve for x
    x = 1,126,314.26/1,112.33
  6. Step 6: Final answer
    x = 1,012.57

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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.