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Finding the Fourth Proportional to 1,220.07, 1,683.59 and 747.75

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Solution

The fourth proportional to 1,220.07, 1,683.59 and 747.75 is: 1,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.07 : 1,683.59 = 747.75 : x
  2. Step 2: Convert to fraction form
    1,220.07/1,683.59 = 747.75/x
  3. Step 3: Cross multiply
    1,220.07x = 1,683.59 × 747.75
  4. Step 4: Simplify right side
    1,220.07x = 1,258,900.68
  5. Step 5: Solve for x
    x = 1,258,900.68/1,220.07
  6. Step 6: Final answer
    x = 1,031.83

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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.