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Finding the Fourth Proportional to 962.27, 1,327.95 and 569.29

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Solution

The fourth proportional to 962.27, 1,327.95 and 569.29 is: 785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.27 : 1,327.95 = 569.29 : x
  2. Step 2: Convert to fraction form
    962.27/1,327.95 = 569.29/x
  3. Step 3: Cross multiply
    962.27x = 1,327.95 × 569.29
  4. Step 4: Simplify right side
    962.27x = 755,988.66
  5. Step 5: Solve for x
    x = 755,988.66/962.27
  6. Step 6: Final answer
    x = 785.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.