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Finding the Fourth Proportional to 1,099.58, 1,651.25 and 605.75

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Solution

The fourth proportional to 1,099.58, 1,651.25 and 605.75 is: 909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.58 : 1,651.25 = 605.75 : x
  2. Step 2: Convert to fraction form
    1,099.58/1,651.25 = 605.75/x
  3. Step 3: Cross multiply
    1,099.58x = 1,651.25 × 605.75
  4. Step 4: Simplify right side
    1,099.58x = 1,000,237.95
  5. Step 5: Solve for x
    x = 1,000,237.95/1,099.58
  6. Step 6: Final answer
    x = 909.66

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Why These Related Problems?

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