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Finding the Fourth Proportional to 1,220.32, 1,683.98 and 723.01

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Solution

The fourth proportional to 1,220.32, 1,683.98 and 723.01 is: 997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.32 : 1,683.98 = 723.01 : x
  2. Step 2: Convert to fraction form
    1,220.32/1,683.98 = 723.01/x
  3. Step 3: Cross multiply
    1,220.32x = 1,683.98 × 723.01
  4. Step 4: Simplify right side
    1,220.32x = 1,217,522.34
  5. Step 5: Solve for x
    x = 1,217,522.34/1,220.32
  6. Step 6: Final answer
    x = 997.71

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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.