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Finding the Fourth Proportional to 795.37, 1,191.57 and 709.57

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Solution

The fourth proportional to 795.37, 1,191.57 and 709.57 is: 1,063.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.37 : 1,191.57 = 709.57 : x
  2. Step 2: Convert to fraction form
    795.37/1,191.57 = 709.57/x
  3. Step 3: Cross multiply
    795.37x = 1,191.57 × 709.57
  4. Step 4: Simplify right side
    795.37x = 845,502.32
  5. Step 5: Solve for x
    x = 845,502.32/795.37
  6. Step 6: Final answer
    x = 1,063.03

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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.