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Finding the Fourth Proportional to 1,220.16, 1,683.14 and 771.89

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Solution

The fourth proportional to 1,220.16, 1,683.14 and 771.89 is: 1,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.16 : 1,683.14 = 771.89 : x
  2. Step 2: Convert to fraction form
    1,220.16/1,683.14 = 771.89/x
  3. Step 3: Cross multiply
    1,220.16x = 1,683.14 × 771.89
  4. Step 4: Simplify right side
    1,220.16x = 1,299,201.21
  5. Step 5: Solve for x
    x = 1,299,201.21/1,220.16
  6. Step 6: Final answer
    x = 1,064.78

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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.