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Finding the Fourth Proportional to 1,608.93, 2,414.15 and 569.72

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Solution

The fourth proportional to 1,608.93, 2,414.15 and 569.72 is: 854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.93 : 2,414.15 = 569.72 : x
  2. Step 2: Convert to fraction form
    1,608.93/2,414.15 = 569.72/x
  3. Step 3: Cross multiply
    1,608.93x = 2,414.15 × 569.72
  4. Step 4: Simplify right side
    1,608.93x = 1,375,381.28
  5. Step 5: Solve for x
    x = 1,375,381.28/1,608.93
  6. Step 6: Final answer
    x = 854.84

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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.