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Finding the Fourth Proportional to 1,222.79, 1,686.17 and 943.07

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Solution

The fourth proportional to 1,222.79, 1,686.17 and 943.07 is: 1,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.79 : 1,686.17 = 943.07 : x
  2. Step 2: Convert to fraction form
    1,222.79/1,686.17 = 943.07/x
  3. Step 3: Cross multiply
    1,222.79x = 1,686.17 × 943.07
  4. Step 4: Simplify right side
    1,222.79x = 1,590,170.27
  5. Step 5: Solve for x
    x = 1,590,170.27/1,222.79
  6. Step 6: Final answer
    x = 1,300.45

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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.