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Finding the Fourth Proportional to 923.11, 1,274.03 and 591.91

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Solution

The fourth proportional to 923.11, 1,274.03 and 591.91 is: 816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.11 : 1,274.03 = 591.91 : x
  2. Step 2: Convert to fraction form
    923.11/1,274.03 = 591.91/x
  3. Step 3: Cross multiply
    923.11x = 1,274.03 × 591.91
  4. Step 4: Simplify right side
    923.11x = 754,111.10
  5. Step 5: Solve for x
    x = 754,111.10/923.11
  6. Step 6: Final answer
    x = 816.92

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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.