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Finding the Fourth Proportional to 696.74, 1,045.11 and 257.99

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Solution

The fourth proportional to 696.74, 1,045.11 and 257.99 is: 386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.74 : 1,045.11 = 257.99 : x
  2. Step 2: Convert to fraction form
    696.74/1,045.11 = 257.99/x
  3. Step 3: Cross multiply
    696.74x = 1,045.11 × 257.99
  4. Step 4: Simplify right side
    696.74x = 269,627.93
  5. Step 5: Solve for x
    x = 269,627.93/696.74
  6. Step 6: Final answer
    x = 386.99

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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.