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Finding the Fourth Proportional to 864.50, 1,193.04 and 569.78

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Solution

The fourth proportional to 864.50, 1,193.04 and 569.78 is: 786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.50 : 1,193.04 = 569.78 : x
  2. Step 2: Convert to fraction form
    864.50/1,193.04 = 569.78/x
  3. Step 3: Cross multiply
    864.50x = 1,193.04 × 569.78
  4. Step 4: Simplify right side
    864.50x = 679,770.33
  5. Step 5: Solve for x
    x = 679,770.33/864.50
  6. Step 6: Final answer
    x = 786.32

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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.