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Finding the Fourth Proportional to 1,689.42, 2,533.78 and 649.61

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Solution

The fourth proportional to 1,689.42, 2,533.78 and 649.61 is: 974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.42 : 2,533.78 = 649.61 : x
  2. Step 2: Convert to fraction form
    1,689.42/2,533.78 = 649.61/x
  3. Step 3: Cross multiply
    1,689.42x = 2,533.78 × 649.61
  4. Step 4: Simplify right side
    1,689.42x = 1,645,956.16
  5. Step 5: Solve for x
    x = 1,645,956.16/1,689.42
  6. Step 6: Final answer
    x = 974.27

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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.