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Finding the Fourth Proportional to 796.66, 1,098.54 and 534.22

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Solution

The fourth proportional to 796.66, 1,098.54 and 534.22 is: 736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.66 : 1,098.54 = 534.22 : x
  2. Step 2: Convert to fraction form
    796.66/1,098.54 = 534.22/x
  3. Step 3: Cross multiply
    796.66x = 1,098.54 × 534.22
  4. Step 4: Simplify right side
    796.66x = 586,862.04
  5. Step 5: Solve for x
    x = 586,862.04/796.66
  6. Step 6: Final answer
    x = 736.65

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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.