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Finding the Fourth Proportional to 1,099, 1,516.64 and 601.64

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Solution

The fourth proportional to 1,099, 1,516.64 and 601.64 is: 830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099 : 1,516.64 = 601.64 : x
  2. Step 2: Convert to fraction form
    1,099/1,516.64 = 601.64/x
  3. Step 3: Cross multiply
    1,099x = 1,516.64 × 601.64
  4. Step 4: Simplify right side
    1,099x = 912,471.29
  5. Step 5: Solve for x
    x = 912,471.29/1,099
  6. Step 6: Final answer
    x = 830.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.