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Finding the Fourth Proportional to 666.97, 922.38 and 583.94

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Solution

The fourth proportional to 666.97, 922.38 and 583.94 is: 807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.97 : 922.38 = 583.94 : x
  2. Step 2: Convert to fraction form
    666.97/922.38 = 583.94/x
  3. Step 3: Cross multiply
    666.97x = 922.38 × 583.94
  4. Step 4: Simplify right side
    666.97x = 538,614.58
  5. Step 5: Solve for x
    x = 538,614.58/666.97
  6. Step 6: Final answer
    x = 807.55

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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.