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Finding the Fourth Proportional to 1,298, 1,947.21 and 432.52

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Solution

The fourth proportional to 1,298, 1,947.21 and 432.52 is: 648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298 : 1,947.21 = 432.52 : x
  2. Step 2: Convert to fraction form
    1,298/1,947.21 = 432.52/x
  3. Step 3: Cross multiply
    1,298x = 1,947.21 × 432.52
  4. Step 4: Simplify right side
    1,298x = 842,197.53
  5. Step 5: Solve for x
    x = 842,197.53/1,298
  6. Step 6: Final answer
    x = 648.84

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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.