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Finding the Fourth Proportional to 795.75, 1,098.13 and 464.23

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Solution

The fourth proportional to 795.75, 1,098.13 and 464.23 is: 640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.75 : 1,098.13 = 464.23 : x
  2. Step 2: Convert to fraction form
    795.75/1,098.13 = 464.23/x
  3. Step 3: Cross multiply
    795.75x = 1,098.13 × 464.23
  4. Step 4: Simplify right side
    795.75x = 509,777.08
  5. Step 5: Solve for x
    x = 509,777.08/795.75
  6. Step 6: Final answer
    x = 640.62

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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.