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Finding the Fourth Proportional to 1,221.37, 1,685.03 and 749.12

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Solution

The fourth proportional to 1,221.37, 1,685.03 and 749.12 is: 1,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.37 : 1,685.03 = 749.12 : x
  2. Step 2: Convert to fraction form
    1,221.37/1,685.03 = 749.12/x
  3. Step 3: Cross multiply
    1,221.37x = 1,685.03 × 749.12
  4. Step 4: Simplify right side
    1,221.37x = 1,262,277.50
  5. Step 5: Solve for x
    x = 1,262,277.50/1,221.37
  6. Step 6: Final answer
    x = 1,033.50

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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.