Home / 1,298.40-1,947.56-432.64

Finding the Fourth Proportional to 1,298.40, 1,947.56 and 432.64

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Solution

The fourth proportional to 1,298.40, 1,947.56 and 432.64 is: 648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.40 : 1,947.56 = 432.64 : x
  2. Step 2: Convert to fraction form
    1,298.40/1,947.56 = 432.64/x
  3. Step 3: Cross multiply
    1,298.40x = 1,947.56 × 432.64
  4. Step 4: Simplify right side
    1,298.40x = 842,592.36
  5. Step 5: Solve for x
    x = 842,592.36/1,298.40
  6. Step 6: Final answer
    x = 648.95

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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.