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Finding the Fourth Proportional to 1,399.98, 1,931.14 and 840.12

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Solution

The fourth proportional to 1,399.98, 1,931.14 and 840.12 is: 1,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.98 : 1,931.14 = 840.12 : x
  2. Step 2: Convert to fraction form
    1,399.98/1,931.14 = 840.12/x
  3. Step 3: Cross multiply
    1,399.98x = 1,931.14 × 840.12
  4. Step 4: Simplify right side
    1,399.98x = 1,622,394.01
  5. Step 5: Solve for x
    x = 1,622,394.01/1,399.98
  6. Step 6: Final answer
    x = 1,158.87

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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.