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Finding the Fourth Proportional to 1,301.91, 1,796.58 and 742.47

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Solution

The fourth proportional to 1,301.91, 1,796.58 and 742.47 is: 1,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.91 : 1,796.58 = 742.47 : x
  2. Step 2: Convert to fraction form
    1,301.91/1,796.58 = 742.47/x
  3. Step 3: Cross multiply
    1,301.91x = 1,796.58 × 742.47
  4. Step 4: Simplify right side
    1,301.91x = 1,333,900.02
  5. Step 5: Solve for x
    x = 1,333,900.02/1,301.91
  6. Step 6: Final answer
    x = 1,024.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.