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Finding the Fourth Proportional to 795.48, 1,192.06 and 564.82

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Solution

The fourth proportional to 795.48, 1,192.06 and 564.82 is: 846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.48 : 1,192.06 = 564.82 : x
  2. Step 2: Convert to fraction form
    795.48/1,192.06 = 564.82/x
  3. Step 3: Cross multiply
    795.48x = 1,192.06 × 564.82
  4. Step 4: Simplify right side
    795.48x = 673,297.06
  5. Step 5: Solve for x
    x = 673,297.06/795.48
  6. Step 6: Final answer
    x = 846.41

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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.