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Finding the Fourth Proportional to 691.34, 1,036.41 and 301.04

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Solution

The fourth proportional to 691.34, 1,036.41 and 301.04 is: 451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.34 : 1,036.41 = 301.04 : x
  2. Step 2: Convert to fraction form
    691.34/1,036.41 = 301.04/x
  3. Step 3: Cross multiply
    691.34x = 1,036.41 × 301.04
  4. Step 4: Simplify right side
    691.34x = 311,998.44
  5. Step 5: Solve for x
    x = 311,998.44/691.34
  6. Step 6: Final answer
    x = 451.30

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