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Finding the Fourth Proportional to 795.25, 1,097.44 and 463.90

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Solution

The fourth proportional to 795.25, 1,097.44 and 463.90 is: 640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.25 : 1,097.44 = 463.90 : x
  2. Step 2: Convert to fraction form
    795.25/1,097.44 = 463.90/x
  3. Step 3: Cross multiply
    795.25x = 1,097.44 × 463.90
  4. Step 4: Simplify right side
    795.25x = 509,102.42
  5. Step 5: Solve for x
    x = 509,102.42/795.25
  6. Step 6: Final answer
    x = 640.18

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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.