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Finding the Fourth Proportional to 709.29, 1,058.24 and 631.33

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Solution

The fourth proportional to 709.29, 1,058.24 and 631.33 is: 941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.29 : 1,058.24 = 631.33 : x
  2. Step 2: Convert to fraction form
    709.29/1,058.24 = 631.33/x
  3. Step 3: Cross multiply
    709.29x = 1,058.24 × 631.33
  4. Step 4: Simplify right side
    709.29x = 668,098.66
  5. Step 5: Solve for x
    x = 668,098.66/709.29
  6. Step 6: Final answer
    x = 941.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.