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Finding the Fourth Proportional to 1,399.89, 2,098.81 and 706.24

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Solution

The fourth proportional to 1,399.89, 2,098.81 and 706.24 is: 1,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.89 : 2,098.81 = 706.24 : x
  2. Step 2: Convert to fraction form
    1,399.89/2,098.81 = 706.24/x
  3. Step 3: Cross multiply
    1,399.89x = 2,098.81 × 706.24
  4. Step 4: Simplify right side
    1,399.89x = 1,482,263.57
  5. Step 5: Solve for x
    x = 1,482,263.57/1,399.89
  6. Step 6: Final answer
    x = 1,058.84

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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.