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Finding the Fourth Proportional to 991.05, 1,486.22 and 470.63

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Solution

The fourth proportional to 991.05, 1,486.22 and 470.63 is: 705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.05 : 1,486.22 = 470.63 : x
  2. Step 2: Convert to fraction form
    991.05/1,486.22 = 470.63/x
  3. Step 3: Cross multiply
    991.05x = 1,486.22 × 470.63
  4. Step 4: Simplify right side
    991.05x = 699,449.93
  5. Step 5: Solve for x
    x = 699,449.93/991.05
  6. Step 6: Final answer
    x = 705.77

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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.