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Finding the Fourth Proportional to 1,689.21, 2,533.01 and 649.44

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Solution

The fourth proportional to 1,689.21, 2,533.01 and 649.44 is: 973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.21 : 2,533.01 = 649.44 : x
  2. Step 2: Convert to fraction form
    1,689.21/2,533.01 = 649.44/x
  3. Step 3: Cross multiply
    1,689.21x = 2,533.01 × 649.44
  4. Step 4: Simplify right side
    1,689.21x = 1,645,034.77
  5. Step 5: Solve for x
    x = 1,645,034.77/1,689.21
  6. Step 6: Final answer
    x = 973.85

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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.