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Finding the Fourth Proportional to 829.77, 1,245.89 and 718.93

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Solution

The fourth proportional to 829.77, 1,245.89 and 718.93 is: 1,079.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.77 : 1,245.89 = 718.93 : x
  2. Step 2: Convert to fraction form
    829.77/1,245.89 = 718.93/x
  3. Step 3: Cross multiply
    829.77x = 1,245.89 × 718.93
  4. Step 4: Simplify right side
    829.77x = 895,704.04
  5. Step 5: Solve for x
    x = 895,704.04/829.77
  6. Step 6: Final answer
    x = 1,079.47

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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.