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Finding the Fourth Proportional to 959.34, 1,324.05 and 566.29

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Solution

The fourth proportional to 959.34, 1,324.05 and 566.29 is: 781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.34 : 1,324.05 = 566.29 : x
  2. Step 2: Convert to fraction form
    959.34/1,324.05 = 566.29/x
  3. Step 3: Cross multiply
    959.34x = 1,324.05 × 566.29
  4. Step 4: Simplify right side
    959.34x = 749,795.81
  5. Step 5: Solve for x
    x = 749,795.81/959.34
  6. Step 6: Final answer
    x = 781.57

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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.