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Finding the Fourth Proportional to 1,567.67, 2,351.51 and 643.07

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Solution

The fourth proportional to 1,567.67, 2,351.51 and 643.07 is: 964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.67 : 2,351.51 = 643.07 : x
  2. Step 2: Convert to fraction form
    1,567.67/2,351.51 = 643.07/x
  3. Step 3: Cross multiply
    1,567.67x = 2,351.51 × 643.07
  4. Step 4: Simplify right side
    1,567.67x = 1,512,185.54
  5. Step 5: Solve for x
    x = 1,512,185.54/1,567.67
  6. Step 6: Final answer
    x = 964.61

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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.