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Finding the Fourth Proportional to 991.67, 1,488.87 and 505.06

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Solution

The fourth proportional to 991.67, 1,488.87 and 505.06 is: 758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.67 : 1,488.87 = 505.06 : x
  2. Step 2: Convert to fraction form
    991.67/1,488.87 = 505.06/x
  3. Step 3: Cross multiply
    991.67x = 1,488.87 × 505.06
  4. Step 4: Simplify right side
    991.67x = 751,968.68
  5. Step 5: Solve for x
    x = 751,968.68/991.67
  6. Step 6: Final answer
    x = 758.29

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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.