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Finding the Fourth Proportional to 716.77, 1,074.23 and 709.03

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Solution

The fourth proportional to 716.77, 1,074.23 and 709.03 is: 1,062.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.77 : 1,074.23 = 709.03 : x
  2. Step 2: Convert to fraction form
    716.77/1,074.23 = 709.03/x
  3. Step 3: Cross multiply
    716.77x = 1,074.23 × 709.03
  4. Step 4: Simplify right side
    716.77x = 761,661.30
  5. Step 5: Solve for x
    x = 761,661.30/716.77
  6. Step 6: Final answer
    x = 1,062.63

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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.