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Finding the Fourth Proportional to 1,232.74, 1,701.35 and 735.39

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Solution

The fourth proportional to 1,232.74, 1,701.35 and 735.39 is: 1,014.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.74 : 1,701.35 = 735.39 : x
  2. Step 2: Convert to fraction form
    1,232.74/1,701.35 = 735.39/x
  3. Step 3: Cross multiply
    1,232.74x = 1,701.35 × 735.39
  4. Step 4: Simplify right side
    1,232.74x = 1,251,155.78
  5. Step 5: Solve for x
    x = 1,251,155.78/1,232.74
  6. Step 6: Final answer
    x = 1,014.94

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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.