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Finding the Fourth Proportional to 817.64, 1,128.02 and 813.98

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Solution

The fourth proportional to 817.64, 1,128.02 and 813.98 is: 1,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.64 : 1,128.02 = 813.98 : x
  2. Step 2: Convert to fraction form
    817.64/1,128.02 = 813.98/x
  3. Step 3: Cross multiply
    817.64x = 1,128.02 × 813.98
  4. Step 4: Simplify right side
    817.64x = 918,185.72
  5. Step 5: Solve for x
    x = 918,185.72/817.64
  6. Step 6: Final answer
    x = 1,122.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.