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Finding the Fourth Proportional to 1,516.82, 2,274.45 and 694.40

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Solution

The fourth proportional to 1,516.82, 2,274.45 and 694.40 is: 1,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.82 : 2,274.45 = 694.40 : x
  2. Step 2: Convert to fraction form
    1,516.82/2,274.45 = 694.40/x
  3. Step 3: Cross multiply
    1,516.82x = 2,274.45 × 694.40
  4. Step 4: Simplify right side
    1,516.82x = 1,579,366.71
  5. Step 5: Solve for x
    x = 1,579,366.71/1,516.82
  6. Step 6: Final answer
    x = 1,041.24

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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.