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Finding the Fourth Proportional to 1,392.42, 2,087.72 and 569.86

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Solution

The fourth proportional to 1,392.42, 2,087.72 and 569.86 is: 854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.42 : 2,087.72 = 569.86 : x
  2. Step 2: Convert to fraction form
    1,392.42/2,087.72 = 569.86/x
  3. Step 3: Cross multiply
    1,392.42x = 2,087.72 × 569.86
  4. Step 4: Simplify right side
    1,392.42x = 1,189,708.12
  5. Step 5: Solve for x
    x = 1,189,708.12/1,392.42
  6. Step 6: Final answer
    x = 854.42

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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.