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Finding the Fourth Proportional to 1,393.20, 2,090.43 and 613.35

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Solution

The fourth proportional to 1,393.20, 2,090.43 and 613.35 is: 920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.20 : 2,090.43 = 613.35 : x
  2. Step 2: Convert to fraction form
    1,393.20/2,090.43 = 613.35/x
  3. Step 3: Cross multiply
    1,393.20x = 2,090.43 × 613.35
  4. Step 4: Simplify right side
    1,393.20x = 1,282,165.24
  5. Step 5: Solve for x
    x = 1,282,165.24/1,393.20
  6. Step 6: Final answer
    x = 920.30

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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.