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Finding the Fourth Proportional to 992.21, 1,489.32 and 407.57

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Solution

The fourth proportional to 992.21, 1,489.32 and 407.57 is: 611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.21 : 1,489.32 = 407.57 : x
  2. Step 2: Convert to fraction form
    992.21/1,489.32 = 407.57/x
  3. Step 3: Cross multiply
    992.21x = 1,489.32 × 407.57
  4. Step 4: Simplify right side
    992.21x = 606,994.71
  5. Step 5: Solve for x
    x = 606,994.71/992.21
  6. Step 6: Final answer
    x = 611.76

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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.