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Finding the Fourth Proportional to 992.99, 1,489.13 and 407.82

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Solution

The fourth proportional to 992.99, 1,489.13 and 407.82 is: 611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.99 : 1,489.13 = 407.82 : x
  2. Step 2: Convert to fraction form
    992.99/1,489.13 = 407.82/x
  3. Step 3: Cross multiply
    992.99x = 1,489.13 × 407.82
  4. Step 4: Simplify right side
    992.99x = 607,298.53
  5. Step 5: Solve for x
    x = 607,298.53/992.99
  6. Step 6: Final answer
    x = 611.59

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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.