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Finding the Fourth Proportional to 1,567.61, 2,351.03 and 643.43

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Solution

The fourth proportional to 1,567.61, 2,351.03 and 643.43 is: 964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.61 : 2,351.03 = 643.43 : x
  2. Step 2: Convert to fraction form
    1,567.61/2,351.03 = 643.43/x
  3. Step 3: Cross multiply
    1,567.61x = 2,351.03 × 643.43
  4. Step 4: Simplify right side
    1,567.61x = 1,512,730.72
  5. Step 5: Solve for x
    x = 1,512,730.72/1,567.61
  6. Step 6: Final answer
    x = 964.99

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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.