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Finding the Fourth Proportional to 1,534.43, 2,301.86 and 494.09

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Solution

The fourth proportional to 1,534.43, 2,301.86 and 494.09 is: 741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.43 : 2,301.86 = 494.09 : x
  2. Step 2: Convert to fraction form
    1,534.43/2,301.86 = 494.09/x
  3. Step 3: Cross multiply
    1,534.43x = 2,301.86 × 494.09
  4. Step 4: Simplify right side
    1,534.43x = 1,137,326.01
  5. Step 5: Solve for x
    x = 1,137,326.01/1,534.43
  6. Step 6: Final answer
    x = 741.20

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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.