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Finding the Fourth Proportional to 1,567.86, 2,352.15 and 527.78

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Solution

The fourth proportional to 1,567.86, 2,352.15 and 527.78 is: 791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.86 : 2,352.15 = 527.78 : x
  2. Step 2: Convert to fraction form
    1,567.86/2,352.15 = 527.78/x
  3. Step 3: Cross multiply
    1,567.86x = 2,352.15 × 527.78
  4. Step 4: Simplify right side
    1,567.86x = 1,241,425.97
  5. Step 5: Solve for x
    x = 1,241,425.97/1,567.86
  6. Step 6: Final answer
    x = 791.80

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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.