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Finding the Fourth Proportional to 959, 1,324.50 and 647.96

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Solution

The fourth proportional to 959, 1,324.50 and 647.96 is: 894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    959 : 1,324.50 = 647.96 : x
  2. Step 2: Convert to fraction form
    959/1,324.50 = 647.96/x
  3. Step 3: Cross multiply
    959x = 1,324.50 × 647.96
  4. Step 4: Simplify right side
    959x = 858,223.02
  5. Step 5: Solve for x
    x = 858,223.02/959
  6. Step 6: Final answer
    x = 894.91

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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.