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Finding the Fourth Proportional to 1,399.89, 1,931.16 and 840.09

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Solution

The fourth proportional to 1,399.89, 1,931.16 and 840.09 is: 1,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.89 : 1,931.16 = 840.09 : x
  2. Step 2: Convert to fraction form
    1,399.89/1,931.16 = 840.09/x
  3. Step 3: Cross multiply
    1,399.89x = 1,931.16 × 840.09
  4. Step 4: Simplify right side
    1,399.89x = 1,622,348.20
  5. Step 5: Solve for x
    x = 1,622,348.20/1,399.89
  6. Step 6: Final answer
    x = 1,158.91

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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.