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Finding the Fourth Proportional to 1,220.56, 1,684.29 and 689.53

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Solution

The fourth proportional to 1,220.56, 1,684.29 and 689.53 is: 951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.56 : 1,684.29 = 689.53 : x
  2. Step 2: Convert to fraction form
    1,220.56/1,684.29 = 689.53/x
  3. Step 3: Cross multiply
    1,220.56x = 1,684.29 × 689.53
  4. Step 4: Simplify right side
    1,220.56x = 1,161,368.48
  5. Step 5: Solve for x
    x = 1,161,368.48/1,220.56
  6. Step 6: Final answer
    x = 951.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.