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Finding the Fourth Proportional to 1,689.24, 2,533.76 and 649.20

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Solution

The fourth proportional to 1,689.24, 2,533.76 and 649.20 is: 973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.24 : 2,533.76 = 649.20 : x
  2. Step 2: Convert to fraction form
    1,689.24/2,533.76 = 649.20/x
  3. Step 3: Cross multiply
    1,689.24x = 2,533.76 × 649.20
  4. Step 4: Simplify right side
    1,689.24x = 1,644,916.99
  5. Step 5: Solve for x
    x = 1,644,916.99/1,689.24
  6. Step 6: Final answer
    x = 973.76

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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.