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Finding the Fourth Proportional to 1,393.61, 2,090.36 and 353.64

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Solution

The fourth proportional to 1,393.61, 2,090.36 and 353.64 is: 530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.61 : 2,090.36 = 353.64 : x
  2. Step 2: Convert to fraction form
    1,393.61/2,090.36 = 353.64/x
  3. Step 3: Cross multiply
    1,393.61x = 2,090.36 × 353.64
  4. Step 4: Simplify right side
    1,393.61x = 739,233.14
  5. Step 5: Solve for x
    x = 739,233.14/1,393.61
  6. Step 6: Final answer
    x = 530.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.