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Finding the Fourth Proportional to 736.39, 1,106.67 and 709.12

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Solution

The fourth proportional to 736.39, 1,106.67 and 709.12 is: 1,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.39 : 1,106.67 = 709.12 : x
  2. Step 2: Convert to fraction form
    736.39/1,106.67 = 709.12/x
  3. Step 3: Cross multiply
    736.39x = 1,106.67 × 709.12
  4. Step 4: Simplify right side
    736.39x = 784,756.30
  5. Step 5: Solve for x
    x = 784,756.30/736.39
  6. Step 6: Final answer
    x = 1,065.69

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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.