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Finding the Fourth Proportional to 696.86, 1,044.14 and 349.84

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Solution

The fourth proportional to 696.86, 1,044.14 and 349.84 is: 524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.86 : 1,044.14 = 349.84 : x
  2. Step 2: Convert to fraction form
    696.86/1,044.14 = 349.84/x
  3. Step 3: Cross multiply
    696.86x = 1,044.14 × 349.84
  4. Step 4: Simplify right side
    696.86x = 365,281.94
  5. Step 5: Solve for x
    x = 365,281.94/696.86
  6. Step 6: Final answer
    x = 524.18

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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.