Home / 1,028.97-1,543.59-298.49

Finding the Fourth Proportional to 1,028.97, 1,543.59 and 298.49

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Solution

The fourth proportional to 1,028.97, 1,543.59 and 298.49 is: 447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.97 : 1,543.59 = 298.49 : x
  2. Step 2: Convert to fraction form
    1,028.97/1,543.59 = 298.49/x
  3. Step 3: Cross multiply
    1,028.97x = 1,543.59 × 298.49
  4. Step 4: Simplify right side
    1,028.97x = 460,738.46
  5. Step 5: Solve for x
    x = 460,738.46/1,028.97
  6. Step 6: Final answer
    x = 447.77

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Double scale
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1.5x scale

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.