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Finding the Fourth Proportional to 1,689.72, 2,534.94 and 649.64

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Solution

The fourth proportional to 1,689.72, 2,534.94 and 649.64 is: 974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.72 : 2,534.94 = 649.64 : x
  2. Step 2: Convert to fraction form
    1,689.72/2,534.94 = 649.64/x
  3. Step 3: Cross multiply
    1,689.72x = 2,534.94 × 649.64
  4. Step 4: Simplify right side
    1,689.72x = 1,646,785.75
  5. Step 5: Solve for x
    x = 1,646,785.75/1,689.72
  6. Step 6: Final answer
    x = 974.59

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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.