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Finding the Fourth Proportional to 1,567.89, 2,351.93 and 527.81

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Solution

The fourth proportional to 1,567.89, 2,351.93 and 527.81 is: 791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.89 : 2,351.93 = 527.81 : x
  2. Step 2: Convert to fraction form
    1,567.89/2,351.93 = 527.81/x
  3. Step 3: Cross multiply
    1,567.89x = 2,351.93 × 527.81
  4. Step 4: Simplify right side
    1,567.89x = 1,241,357.77
  5. Step 5: Solve for x
    x = 1,241,357.77/1,567.89
  6. Step 6: Final answer
    x = 791.74

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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.