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Finding the Fourth Proportional to 1,112.22, 1,534.90 and 738.55

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Solution

The fourth proportional to 1,112.22, 1,534.90 and 738.55 is: 1,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.22 : 1,534.90 = 738.55 : x
  2. Step 2: Convert to fraction form
    1,112.22/1,534.90 = 738.55/x
  3. Step 3: Cross multiply
    1,112.22x = 1,534.90 × 738.55
  4. Step 4: Simplify right side
    1,112.22x = 1,133,600.40
  5. Step 5: Solve for x
    x = 1,133,600.40/1,112.22
  6. Step 6: Final answer
    x = 1,019.23

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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.