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Finding the Fourth Proportional to 796.17, 1,098.59 and 442.08

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Solution

The fourth proportional to 796.17, 1,098.59 and 442.08 is: 610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.17 : 1,098.59 = 442.08 : x
  2. Step 2: Convert to fraction form
    796.17/1,098.59 = 442.08/x
  3. Step 3: Cross multiply
    796.17x = 1,098.59 × 442.08
  4. Step 4: Simplify right side
    796.17x = 485,666.31
  5. Step 5: Solve for x
    x = 485,666.31/796.17
  6. Step 6: Final answer
    x = 610.00

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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.