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Finding the Fourth Proportional to 798.50, 1,102.02 and 467.04

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Solution

The fourth proportional to 798.50, 1,102.02 and 467.04 is: 644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.50 : 1,102.02 = 467.04 : x
  2. Step 2: Convert to fraction form
    798.50/1,102.02 = 467.04/x
  3. Step 3: Cross multiply
    798.50x = 1,102.02 × 467.04
  4. Step 4: Simplify right side
    798.50x = 514,687.42
  5. Step 5: Solve for x
    x = 514,687.42/798.50
  6. Step 6: Final answer
    x = 644.57

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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.