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Finding the Fourth Proportional to 979.22, 1,467.32 and 567.34

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Solution

The fourth proportional to 979.22, 1,467.32 and 567.34 is: 850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.22 : 1,467.32 = 567.34 : x
  2. Step 2: Convert to fraction form
    979.22/1,467.32 = 567.34/x
  3. Step 3: Cross multiply
    979.22x = 1,467.32 × 567.34
  4. Step 4: Simplify right side
    979.22x = 832,462.82
  5. Step 5: Solve for x
    x = 832,462.82/979.22
  6. Step 6: Final answer
    x = 850.13

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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.