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Finding the Fourth Proportional to 994.99, 1,493.28 and 584.47

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Solution

The fourth proportional to 994.99, 1,493.28 and 584.47 is: 877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.99 : 1,493.28 = 584.47 : x
  2. Step 2: Convert to fraction form
    994.99/1,493.28 = 584.47/x
  3. Step 3: Cross multiply
    994.99x = 1,493.28 × 584.47
  4. Step 4: Simplify right side
    994.99x = 872,773.38
  5. Step 5: Solve for x
    x = 872,773.38/994.99
  6. Step 6: Final answer
    x = 877.17

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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.