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Finding the Fourth Proportional to 722.65, 998.27 and 558.93

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Solution

The fourth proportional to 722.65, 998.27 and 558.93 is: 772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.65 : 998.27 = 558.93 : x
  2. Step 2: Convert to fraction form
    722.65/998.27 = 558.93/x
  3. Step 3: Cross multiply
    722.65x = 998.27 × 558.93
  4. Step 4: Simplify right side
    722.65x = 557,963.05
  5. Step 5: Solve for x
    x = 557,963.05/722.65
  6. Step 6: Final answer
    x = 772.11

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