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Finding the Fourth Proportional to 1,298.07, 1,947.51 and 432.41

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Solution

The fourth proportional to 1,298.07, 1,947.51 and 432.41 is: 648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.07 : 1,947.51 = 432.41 : x
  2. Step 2: Convert to fraction form
    1,298.07/1,947.51 = 432.41/x
  3. Step 3: Cross multiply
    1,298.07x = 1,947.51 × 432.41
  4. Step 4: Simplify right side
    1,298.07x = 842,113.06
  5. Step 5: Solve for x
    x = 842,113.06/1,298.07
  6. Step 6: Final answer
    x = 648.74

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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.