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Finding the Fourth Proportional to 1,068.12, 1,604.61 and 635.58

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Solution

The fourth proportional to 1,068.12, 1,604.61 and 635.58 is: 954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.12 : 1,604.61 = 635.58 : x
  2. Step 2: Convert to fraction form
    1,068.12/1,604.61 = 635.58/x
  3. Step 3: Cross multiply
    1,068.12x = 1,604.61 × 635.58
  4. Step 4: Simplify right side
    1,068.12x = 1,019,858.02
  5. Step 5: Solve for x
    x = 1,019,858.02/1,068.12
  6. Step 6: Final answer
    x = 954.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.