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Finding the Fourth Proportional to 738.39, 1,109.67 and 711.12

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Solution

The fourth proportional to 738.39, 1,109.67 and 711.12 is: 1,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.39 : 1,109.67 = 711.12 : x
  2. Step 2: Convert to fraction form
    738.39/1,109.67 = 711.12/x
  3. Step 3: Cross multiply
    738.39x = 1,109.67 × 711.12
  4. Step 4: Simplify right side
    738.39x = 789,108.53
  5. Step 5: Solve for x
    x = 789,108.53/738.39
  6. Step 6: Final answer
    x = 1,068.69

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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.