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Finding the Fourth Proportional to 991.14, 1,485.64 and 470.81

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Solution

The fourth proportional to 991.14, 1,485.64 and 470.81 is: 705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.14 : 1,485.64 = 470.81 : x
  2. Step 2: Convert to fraction form
    991.14/1,485.64 = 470.81/x
  3. Step 3: Cross multiply
    991.14x = 1,485.64 × 470.81
  4. Step 4: Simplify right side
    991.14x = 699,458.47
  5. Step 5: Solve for x
    x = 699,458.47/991.14
  6. Step 6: Final answer
    x = 705.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.