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Finding the Fourth Proportional to 798.65, 1,102.25 and 484.04

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Solution

The fourth proportional to 798.65, 1,102.25 and 484.04 is: 668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.65 : 1,102.25 = 484.04 : x
  2. Step 2: Convert to fraction form
    798.65/1,102.25 = 484.04/x
  3. Step 3: Cross multiply
    798.65x = 1,102.25 × 484.04
  4. Step 4: Simplify right side
    798.65x = 533,530.67
  5. Step 5: Solve for x
    x = 533,530.67/798.65
  6. Step 6: Final answer
    x = 668.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.