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Finding the Fourth Proportional to 926.13, 1,274.20 and 801.39

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Solution

The fourth proportional to 926.13, 1,274.20 and 801.39 is: 1,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.13 : 1,274.20 = 801.39 : x
  2. Step 2: Convert to fraction form
    926.13/1,274.20 = 801.39/x
  3. Step 3: Cross multiply
    926.13x = 1,274.20 × 801.39
  4. Step 4: Simplify right side
    926.13x = 1,021,131.14
  5. Step 5: Solve for x
    x = 1,021,131.14/926.13
  6. Step 6: Final answer
    x = 1,102.58

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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.