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Finding the Fourth Proportional to 691.13, 1,036.53 and 274.65

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Solution

The fourth proportional to 691.13, 1,036.53 and 274.65 is: 411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.13 : 1,036.53 = 274.65 : x
  2. Step 2: Convert to fraction form
    691.13/1,036.53 = 274.65/x
  3. Step 3: Cross multiply
    691.13x = 1,036.53 × 274.65
  4. Step 4: Simplify right side
    691.13x = 284,682.96
  5. Step 5: Solve for x
    x = 284,682.96/691.13
  6. Step 6: Final answer
    x = 411.91

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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.