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Finding the Fourth Proportional to 1,389.57, 2,083.37 and 695.74

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Solution

The fourth proportional to 1,389.57, 2,083.37 and 695.74 is: 1,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.57 : 2,083.37 = 695.74 : x
  2. Step 2: Convert to fraction form
    1,389.57/2,083.37 = 695.74/x
  3. Step 3: Cross multiply
    1,389.57x = 2,083.37 × 695.74
  4. Step 4: Simplify right side
    1,389.57x = 1,449,474.18
  5. Step 5: Solve for x
    x = 1,449,474.18/1,389.57
  6. Step 6: Final answer
    x = 1,043.11

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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.