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Finding the Fourth Proportional to 967.31, 1,449.65 and 706.09

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Solution

The fourth proportional to 967.31, 1,449.65 and 706.09 is: 1,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.31 : 1,449.65 = 706.09 : x
  2. Step 2: Convert to fraction form
    967.31/1,449.65 = 706.09/x
  3. Step 3: Cross multiply
    967.31x = 1,449.65 × 706.09
  4. Step 4: Simplify right side
    967.31x = 1,023,581.51
  5. Step 5: Solve for x
    x = 1,023,581.51/967.31
  6. Step 6: Final answer
    x = 1,058.17

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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.