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Finding the Fourth Proportional to 1,028.93, 1,543.37 and 298.53

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Solution

The fourth proportional to 1,028.93, 1,543.37 and 298.53 is: 447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.93 : 1,543.37 = 298.53 : x
  2. Step 2: Convert to fraction form
    1,028.93/1,543.37 = 298.53/x
  3. Step 3: Cross multiply
    1,028.93x = 1,543.37 × 298.53
  4. Step 4: Simplify right side
    1,028.93x = 460,740.75
  5. Step 5: Solve for x
    x = 460,740.75/1,028.93
  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.