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Finding the Fourth Proportional to 901.03, 1,343.64 and 892.82

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Solution

The fourth proportional to 901.03, 1,343.64 and 892.82 is: 1,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.03 : 1,343.64 = 892.82 : x
  2. Step 2: Convert to fraction form
    901.03/1,343.64 = 892.82/x
  3. Step 3: Cross multiply
    901.03x = 1,343.64 × 892.82
  4. Step 4: Simplify right side
    901.03x = 1,199,628.66
  5. Step 5: Solve for x
    x = 1,199,628.66/901.03
  6. Step 6: Final answer
    x = 1,331.40

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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.