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Finding the Fourth Proportional to 994.66, 1,493.10 and 584.56

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Solution

The fourth proportional to 994.66, 1,493.10 and 584.56 is: 877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.66 : 1,493.10 = 584.56 : x
  2. Step 2: Convert to fraction form
    994.66/1,493.10 = 584.56/x
  3. Step 3: Cross multiply
    994.66x = 1,493.10 × 584.56
  4. Step 4: Simplify right side
    994.66x = 872,806.54
  5. Step 5: Solve for x
    x = 872,806.54/994.66
  6. Step 6: Final answer
    x = 877.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.