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Finding the Fourth Proportional to 922.98, 1,274.07 and 591.42

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Solution

The fourth proportional to 922.98, 1,274.07 and 591.42 is: 816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.98 : 1,274.07 = 591.42 : x
  2. Step 2: Convert to fraction form
    922.98/1,274.07 = 591.42/x
  3. Step 3: Cross multiply
    922.98x = 1,274.07 × 591.42
  4. Step 4: Simplify right side
    922.98x = 753,510.48
  5. Step 5: Solve for x
    x = 753,510.48/922.98
  6. Step 6: Final answer
    x = 816.39

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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.