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Finding the Fourth Proportional to 1,393.44, 2,090.36 and 456.08

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Solution

The fourth proportional to 1,393.44, 2,090.36 and 456.08 is: 684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.44 : 2,090.36 = 456.08 : x
  2. Step 2: Convert to fraction form
    1,393.44/2,090.36 = 456.08/x
  3. Step 3: Cross multiply
    1,393.44x = 2,090.36 × 456.08
  4. Step 4: Simplify right side
    1,393.44x = 953,371.39
  5. Step 5: Solve for x
    x = 953,371.39/1,393.44
  6. Step 6: Final answer
    x = 684.19

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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.