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Finding the Fourth Proportional to 693.66, 1,039.95 and 347.13

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Solution

The fourth proportional to 693.66, 1,039.95 and 347.13 is: 520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.66 : 1,039.95 = 347.13 : x
  2. Step 2: Convert to fraction form
    693.66/1,039.95 = 347.13/x
  3. Step 3: Cross multiply
    693.66x = 1,039.95 × 347.13
  4. Step 4: Simplify right side
    693.66x = 360,997.84
  5. Step 5: Solve for x
    x = 360,997.84/693.66
  6. Step 6: Final answer
    x = 520.42

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Why These Related Problems?

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