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Finding the Fourth Proportional to 1,394.29, 2,091.40 and 572.61

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Solution

The fourth proportional to 1,394.29, 2,091.40 and 572.61 is: 858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.29 : 2,091.40 = 572.61 : x
  2. Step 2: Convert to fraction form
    1,394.29/2,091.40 = 572.61/x
  3. Step 3: Cross multiply
    1,394.29x = 2,091.40 × 572.61
  4. Step 4: Simplify right side
    1,394.29x = 1,197,555.12
  5. Step 5: Solve for x
    x = 1,197,555.12/1,394.29
  6. Step 6: Final answer
    x = 858.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.