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Finding the Fourth Proportional to 798.88, 1,103.52 and 633.28

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Solution

The fourth proportional to 798.88, 1,103.52 and 633.28 is: 874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.88 : 1,103.52 = 633.28 : x
  2. Step 2: Convert to fraction form
    798.88/1,103.52 = 633.28/x
  3. Step 3: Cross multiply
    798.88x = 1,103.52 × 633.28
  4. Step 4: Simplify right side
    798.88x = 698,837.15
  5. Step 5: Solve for x
    x = 698,837.15/798.88
  6. Step 6: Final answer
    x = 874.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.