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Finding the Fourth Proportional to 990.46, 1,482.16 and 729.84

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Solution

The fourth proportional to 990.46, 1,482.16 and 729.84 is: 1,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.46 : 1,482.16 = 729.84 : x
  2. Step 2: Convert to fraction form
    990.46/1,482.16 = 729.84/x
  3. Step 3: Cross multiply
    990.46x = 1,482.16 × 729.84
  4. Step 4: Simplify right side
    990.46x = 1,081,739.65
  5. Step 5: Solve for x
    x = 1,081,739.65/990.46
  6. Step 6: Final answer
    x = 1,092.16

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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.