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Finding the Fourth Proportional to 1,689.20, 2,533.54 and 649.69

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Solution

The fourth proportional to 1,689.20, 2,533.54 and 649.69 is: 974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.20 : 2,533.54 = 649.69 : x
  2. Step 2: Convert to fraction form
    1,689.20/2,533.54 = 649.69/x
  3. Step 3: Cross multiply
    1,689.20x = 2,533.54 × 649.69
  4. Step 4: Simplify right side
    1,689.20x = 1,646,007.64
  5. Step 5: Solve for x
    x = 1,646,007.64/1,689.20
  6. Step 6: Final answer
    x = 974.43

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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.