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Finding the Fourth Proportional to 959.90, 1,324.74 and 812.34

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Solution

The fourth proportional to 959.90, 1,324.74 and 812.34 is: 1,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.90 : 1,324.74 = 812.34 : x
  2. Step 2: Convert to fraction form
    959.90/1,324.74 = 812.34/x
  3. Step 3: Cross multiply
    959.90x = 1,324.74 × 812.34
  4. Step 4: Simplify right side
    959.90x = 1,076,139.29
  5. Step 5: Solve for x
    x = 1,076,139.29/959.90
  6. Step 6: Final answer
    x = 1,121.10

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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.