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Finding the Fourth Proportional to 992.19, 1,487.21 and 645.77

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Solution

The fourth proportional to 992.19, 1,487.21 and 645.77 is: 967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.19 : 1,487.21 = 645.77 : x
  2. Step 2: Convert to fraction form
    992.19/1,487.21 = 645.77/x
  3. Step 3: Cross multiply
    992.19x = 1,487.21 × 645.77
  4. Step 4: Simplify right side
    992.19x = 960,396.09
  5. Step 5: Solve for x
    x = 960,396.09/992.19
  6. Step 6: Final answer
    x = 967.96

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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.