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Finding the Fourth Proportional to 992.21, 1,488.25 and 444.25

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Solution

The fourth proportional to 992.21, 1,488.25 and 444.25 is: 666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.21 : 1,488.25 = 444.25 : x
  2. Step 2: Convert to fraction form
    992.21/1,488.25 = 444.25/x
  3. Step 3: Cross multiply
    992.21x = 1,488.25 × 444.25
  4. Step 4: Simplify right side
    992.21x = 661,150.36
  5. Step 5: Solve for x
    x = 661,150.36/992.21
  6. Step 6: Final answer
    x = 666.34

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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.