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Finding the Fourth Proportional to 1,567.02, 2,351.07 and 701.66

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Solution

The fourth proportional to 1,567.02, 2,351.07 and 701.66 is: 1,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.02 : 2,351.07 = 701.66 : x
  2. Step 2: Convert to fraction form
    1,567.02/2,351.07 = 701.66/x
  3. Step 3: Cross multiply
    1,567.02x = 2,351.07 × 701.66
  4. Step 4: Simplify right side
    1,567.02x = 1,649,651.78
  5. Step 5: Solve for x
    x = 1,649,651.78/1,567.02
  6. Step 6: Final answer
    x = 1,052.73

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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.