Home / 1,029.16-1,543.57-298.56

Finding the Fourth Proportional to 1,029.16, 1,543.57 and 298.56

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Solution

The fourth proportional to 1,029.16, 1,543.57 and 298.56 is: 447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.16 : 1,543.57 = 298.56 : x
  2. Step 2: Convert to fraction form
    1,029.16/1,543.57 = 298.56/x
  3. Step 3: Cross multiply
    1,029.16x = 1,543.57 × 298.56
  4. Step 4: Simplify right side
    1,029.16x = 460,848.26
  5. Step 5: Solve for x
    x = 460,848.26/1,029.16
  6. Step 6: Final answer
    x = 447.79

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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.