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Finding the Fourth Proportional to 1,689.54, 2,532.56 and 649.30

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Solution

The fourth proportional to 1,689.54, 2,532.56 and 649.30 is: 973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.54 : 2,532.56 = 649.30 : x
  2. Step 2: Convert to fraction form
    1,689.54/2,532.56 = 649.30/x
  3. Step 3: Cross multiply
    1,689.54x = 2,532.56 × 649.30
  4. Step 4: Simplify right side
    1,689.54x = 1,644,391.21
  5. Step 5: Solve for x
    x = 1,644,391.21/1,689.54
  6. Step 6: Final answer
    x = 973.28

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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.