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Finding the Fourth Proportional to 1,689, 2,533.11 and 648.66

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Solution

The fourth proportional to 1,689, 2,533.11 and 648.66 is: 972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689 : 2,533.11 = 648.66 : x
  2. Step 2: Convert to fraction form
    1,689/2,533.11 = 648.66/x
  3. Step 3: Cross multiply
    1,689x = 2,533.11 × 648.66
  4. Step 4: Simplify right side
    1,689x = 1,643,127.13
  5. Step 5: Solve for x
    x = 1,643,127.13/1,689
  6. Step 6: Final answer
    x = 972.84

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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.