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Finding the Fourth Proportional to 1,099.72, 1,647.75 and 774.40

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Solution

The fourth proportional to 1,099.72, 1,647.75 and 774.40 is: 1,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.72 : 1,647.75 = 774.40 : x
  2. Step 2: Convert to fraction form
    1,099.72/1,647.75 = 774.40/x
  3. Step 3: Cross multiply
    1,099.72x = 1,647.75 × 774.40
  4. Step 4: Simplify right side
    1,099.72x = 1,276,017.60
  5. Step 5: Solve for x
    x = 1,276,017.60/1,099.72
  6. Step 6: Final answer
    x = 1,160.31

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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.