Home / 1,298.21-1,947.44-476.29

Finding the Fourth Proportional to 1,298.21, 1,947.44 and 476.29

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Solution

The fourth proportional to 1,298.21, 1,947.44 and 476.29 is: 714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.21 : 1,947.44 = 476.29 : x
  2. Step 2: Convert to fraction form
    1,298.21/1,947.44 = 476.29/x
  3. Step 3: Cross multiply
    1,298.21x = 1,947.44 × 476.29
  4. Step 4: Simplify right side
    1,298.21x = 927,546.20
  5. Step 5: Solve for x
    x = 927,546.20/1,298.21
  6. Step 6: Final answer
    x = 714.48

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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.