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Finding the Fourth Proportional to 1,100.88, 1,518.72 and 634.80

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Solution

The fourth proportional to 1,100.88, 1,518.72 and 634.80 is: 875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.88 : 1,518.72 = 634.80 : x
  2. Step 2: Convert to fraction form
    1,100.88/1,518.72 = 634.80/x
  3. Step 3: Cross multiply
    1,100.88x = 1,518.72 × 634.80
  4. Step 4: Simplify right side
    1,100.88x = 964,083.46
  5. Step 5: Solve for x
    x = 964,083.46/1,100.88
  6. Step 6: Final answer
    x = 875.74

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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.