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Finding the Fourth Proportional to 992.12, 1,488.98 and 444.35

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Solution

The fourth proportional to 992.12, 1,488.98 and 444.35 is: 666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.12 : 1,488.98 = 444.35 : x
  2. Step 2: Convert to fraction form
    992.12/1,488.98 = 444.35/x
  3. Step 3: Cross multiply
    992.12x = 1,488.98 × 444.35
  4. Step 4: Simplify right side
    992.12x = 661,633.10
  5. Step 5: Solve for x
    x = 661,633.10/992.12
  6. Step 6: Final answer
    x = 666.89

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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.