Home / 1,298.16-1,947.48-476.97

Finding the Fourth Proportional to 1,298.16, 1,947.48 and 476.97

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Solution

The fourth proportional to 1,298.16, 1,947.48 and 476.97 is: 715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.16 : 1,947.48 = 476.97 : x
  2. Step 2: Convert to fraction form
    1,298.16/1,947.48 = 476.97/x
  3. Step 3: Cross multiply
    1,298.16x = 1,947.48 × 476.97
  4. Step 4: Simplify right side
    1,298.16x = 928,889.54
  5. Step 5: Solve for x
    x = 928,889.54/1,298.16
  6. Step 6: Final answer
    x = 715.54

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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.