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Finding the Fourth Proportional to 655.74, 982.71 and 562.82

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Solution

The fourth proportional to 655.74, 982.71 and 562.82 is: 843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.74 : 982.71 = 562.82 : x
  2. Step 2: Convert to fraction form
    655.74/982.71 = 562.82/x
  3. Step 3: Cross multiply
    655.74x = 982.71 × 562.82
  4. Step 4: Simplify right side
    655.74x = 553,083.93
  5. Step 5: Solve for x
    x = 553,083.93/655.74
  6. Step 6: Final answer
    x = 843.45

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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.