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Finding the Fourth Proportional to 991.98, 1,488.44 and 444.32

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Solution

The fourth proportional to 991.98, 1,488.44 and 444.32 is: 666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.98 : 1,488.44 = 444.32 : x
  2. Step 2: Convert to fraction form
    991.98/1,488.44 = 444.32/x
  3. Step 3: Cross multiply
    991.98x = 1,488.44 × 444.32
  4. Step 4: Simplify right side
    991.98x = 661,342.91
  5. Step 5: Solve for x
    x = 661,342.91/991.98
  6. Step 6: Final answer
    x = 666.69

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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.