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Finding the Fourth Proportional to 1,389.58, 2,083.83 and 695.86

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Solution

The fourth proportional to 1,389.58, 2,083.83 and 695.86 is: 1,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.58 : 2,083.83 = 695.86 : x
  2. Step 2: Convert to fraction form
    1,389.58/2,083.83 = 695.86/x
  3. Step 3: Cross multiply
    1,389.58x = 2,083.83 × 695.86
  4. Step 4: Simplify right side
    1,389.58x = 1,450,053.94
  5. Step 5: Solve for x
    x = 1,450,053.94/1,389.58
  6. Step 6: Final answer
    x = 1,043.52

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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.