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Finding the Fourth Proportional to 934.41, 1,288.10 and 598.27

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Solution

The fourth proportional to 934.41, 1,288.10 and 598.27 is: 824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.41 : 1,288.10 = 598.27 : x
  2. Step 2: Convert to fraction form
    934.41/1,288.10 = 598.27/x
  3. Step 3: Cross multiply
    934.41x = 1,288.10 × 598.27
  4. Step 4: Simplify right side
    934.41x = 770,631.59
  5. Step 5: Solve for x
    x = 770,631.59/934.41
  6. Step 6: Final answer
    x = 824.73

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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.