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Finding the Fourth Proportional to 1,366.57, 1,885.22 and 894.29

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Solution

The fourth proportional to 1,366.57, 1,885.22 and 894.29 is: 1,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.57 : 1,885.22 = 894.29 : x
  2. Step 2: Convert to fraction form
    1,366.57/1,885.22 = 894.29/x
  3. Step 3: Cross multiply
    1,366.57x = 1,885.22 × 894.29
  4. Step 4: Simplify right side
    1,366.57x = 1,685,938.48
  5. Step 5: Solve for x
    x = 1,685,938.48/1,366.57
  6. Step 6: Final answer
    x = 1,233.70

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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.