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Finding the Fourth Proportional to 1,099, 1,647.64 and 578.32

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Solution

The fourth proportional to 1,099, 1,647.64 and 578.32 is: 867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099 : 1,647.64 = 578.32 : x
  2. Step 2: Convert to fraction form
    1,099/1,647.64 = 578.32/x
  3. Step 3: Cross multiply
    1,099x = 1,647.64 × 578.32
  4. Step 4: Simplify right side
    1,099x = 952,863.16
  5. Step 5: Solve for x
    x = 952,863.16/1,099
  6. Step 6: Final answer
    x = 867.03

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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.