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Finding the Fourth Proportional to 992.12, 1,488.78 and 582.05

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Solution

The fourth proportional to 992.12, 1,488.78 and 582.05 is: 873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.12 : 1,488.78 = 582.05 : x
  2. Step 2: Convert to fraction form
    992.12/1,488.78 = 582.05/x
  3. Step 3: Cross multiply
    992.12x = 1,488.78 × 582.05
  4. Step 4: Simplify right side
    992.12x = 866,548.12
  5. Step 5: Solve for x
    x = 866,548.12/992.12
  6. Step 6: Final answer
    x = 873.44

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