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Finding the Fourth Proportional to 1,399.55, 1,930.82 and 840.05

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Solution

The fourth proportional to 1,399.55, 1,930.82 and 840.05 is: 1,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.55 : 1,930.82 = 840.05 : x
  2. Step 2: Convert to fraction form
    1,399.55/1,930.82 = 840.05/x
  3. Step 3: Cross multiply
    1,399.55x = 1,930.82 × 840.05
  4. Step 4: Simplify right side
    1,399.55x = 1,621,971.49
  5. Step 5: Solve for x
    x = 1,621,971.49/1,399.55
  6. Step 6: Final answer
    x = 1,158.93

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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.