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Finding the Fourth Proportional to 992.64, 1,488.96 and 504.48

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Solution

The fourth proportional to 992.64, 1,488.96 and 504.48 is: 756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.64 : 1,488.96 = 504.48 : x
  2. Step 2: Convert to fraction form
    992.64/1,488.96 = 504.48/x
  3. Step 3: Cross multiply
    992.64x = 1,488.96 × 504.48
  4. Step 4: Simplify right side
    992.64x = 751,150.54
  5. Step 5: Solve for x
    x = 751,150.54/992.64
  6. Step 6: Final answer
    x = 756.72

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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.