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Finding the Fourth Proportional to 1,393.48, 2,090.20 and 353.48

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Solution

The fourth proportional to 1,393.48, 2,090.20 and 353.48 is: 530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.48 : 2,090.20 = 353.48 : x
  2. Step 2: Convert to fraction form
    1,393.48/2,090.20 = 353.48/x
  3. Step 3: Cross multiply
    1,393.48x = 2,090.20 × 353.48
  4. Step 4: Simplify right side
    1,393.48x = 738,843.90
  5. Step 5: Solve for x
    x = 738,843.90/1,393.48
  6. Step 6: Final answer
    x = 530.21

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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.