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Finding the Fourth Proportional to 992.21, 1,486.93 and 580.78

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Solution

The fourth proportional to 992.21, 1,486.93 and 580.78 is: 870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.21 : 1,486.93 = 580.78 : x
  2. Step 2: Convert to fraction form
    992.21/1,486.93 = 580.78/x
  3. Step 3: Cross multiply
    992.21x = 1,486.93 × 580.78
  4. Step 4: Simplify right side
    992.21x = 863,579.21
  5. Step 5: Solve for x
    x = 863,579.21/992.21
  6. Step 6: Final answer
    x = 870.36

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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.