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Finding the Fourth Proportional to 1,534.53, 2,301.66 and 494.58

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Solution

The fourth proportional to 1,534.53, 2,301.66 and 494.58 is: 741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.53 : 2,301.66 = 494.58 : x
  2. Step 2: Convert to fraction form
    1,534.53/2,301.66 = 494.58/x
  3. Step 3: Cross multiply
    1,534.53x = 2,301.66 × 494.58
  4. Step 4: Simplify right side
    1,534.53x = 1,138,355.00
  5. Step 5: Solve for x
    x = 1,138,355.00/1,534.53
  6. Step 6: Final answer
    x = 741.83

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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.