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Finding the Fourth Proportional to 1,398.89, 1,930.70 and 1,066.70

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Solution

The fourth proportional to 1,398.89, 1,930.70 and 1,066.70 is: 1,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.89 : 1,930.70 = 1,066.70 : x
  2. Step 2: Convert to fraction form
    1,398.89/1,930.70 = 1,066.70/x
  3. Step 3: Cross multiply
    1,398.89x = 1,930.70 × 1,066.70
  4. Step 4: Simplify right side
    1,398.89x = 2,059,485.18
  5. Step 5: Solve for x
    x = 2,059,485.18/1,398.89
  6. Step 6: Final answer
    x = 1,472.23

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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.