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Finding the Fourth Proportional to 796.10, 1,098.62 and 442.01

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Solution

The fourth proportional to 796.10, 1,098.62 and 442.01 is: 609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.10 : 1,098.62 = 442.01 : x
  2. Step 2: Convert to fraction form
    796.10/1,098.62 = 442.01/x
  3. Step 3: Cross multiply
    796.10x = 1,098.62 × 442.01
  4. Step 4: Simplify right side
    796.10x = 485,598.82
  5. Step 5: Solve for x
    x = 485,598.82/796.10
  6. Step 6: Final answer
    x = 609.97

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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.