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Finding the Fourth Proportional to 569, 786.84 and 543.22

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Solution

The fourth proportional to 569, 786.84 and 543.22 is: 751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569 : 786.84 = 543.22 : x
  2. Step 2: Convert to fraction form
    569/786.84 = 543.22/x
  3. Step 3: Cross multiply
    569x = 786.84 × 543.22
  4. Step 4: Simplify right side
    569x = 427,427.22
  5. Step 5: Solve for x
    x = 427,427.22/569
  6. Step 6: Final answer
    x = 751.19

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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.