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Finding the Fourth Proportional to 991.10, 1,486.62 and 471.47

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Solution

The fourth proportional to 991.10, 1,486.62 and 471.47 is: 707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.10 : 1,486.62 = 471.47 : x
  2. Step 2: Convert to fraction form
    991.10/1,486.62 = 471.47/x
  3. Step 3: Cross multiply
    991.10x = 1,486.62 × 471.47
  4. Step 4: Simplify right side
    991.10x = 700,896.73
  5. Step 5: Solve for x
    x = 700,896.73/991.10
  6. Step 6: Final answer
    x = 707.19

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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.