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Finding the Fourth Proportional to 742.14, 1,022.96 and 564.51

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Solution

The fourth proportional to 742.14, 1,022.96 and 564.51 is: 778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.14 : 1,022.96 = 564.51 : x
  2. Step 2: Convert to fraction form
    742.14/1,022.96 = 564.51/x
  3. Step 3: Cross multiply
    742.14x = 1,022.96 × 564.51
  4. Step 4: Simplify right side
    742.14x = 577,468.33
  5. Step 5: Solve for x
    x = 577,468.33/742.14
  6. Step 6: Final answer
    x = 778.11

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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.