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Finding the Fourth Proportional to 990.13, 1,482.55 and 642.46

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Solution

The fourth proportional to 990.13, 1,482.55 and 642.46 is: 961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.13 : 1,482.55 = 642.46 : x
  2. Step 2: Convert to fraction form
    990.13/1,482.55 = 642.46/x
  3. Step 3: Cross multiply
    990.13x = 1,482.55 × 642.46
  4. Step 4: Simplify right side
    990.13x = 952,479.07
  5. Step 5: Solve for x
    x = 952,479.07/990.13
  6. Step 6: Final answer
    x = 961.97

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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.