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Finding the Fourth Proportional to 962.86, 1,328.82 and 569.97

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Solution

The fourth proportional to 962.86, 1,328.82 and 569.97 is: 786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.86 : 1,328.82 = 569.97 : x
  2. Step 2: Convert to fraction form
    962.86/1,328.82 = 569.97/x
  3. Step 3: Cross multiply
    962.86x = 1,328.82 × 569.97
  4. Step 4: Simplify right side
    962.86x = 757,380.89
  5. Step 5: Solve for x
    x = 757,380.89/962.86
  6. Step 6: Final answer
    x = 786.60

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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.