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Finding the Fourth Proportional to 990.68, 1,485.99 and 470.93

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Solution

The fourth proportional to 990.68, 1,485.99 and 470.93 is: 706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.68 : 1,485.99 = 470.93 : x
  2. Step 2: Convert to fraction form
    990.68/1,485.99 = 470.93/x
  3. Step 3: Cross multiply
    990.68x = 1,485.99 × 470.93
  4. Step 4: Simplify right side
    990.68x = 699,800.99
  5. Step 5: Solve for x
    x = 699,800.99/990.68
  6. Step 6: Final answer
    x = 706.38

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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.