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Finding the Fourth Proportional to 864.75, 1,192.50 and 566.09

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Solution

The fourth proportional to 864.75, 1,192.50 and 566.09 is: 780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.75 : 1,192.50 = 566.09 : x
  2. Step 2: Convert to fraction form
    864.75/1,192.50 = 566.09/x
  3. Step 3: Cross multiply
    864.75x = 1,192.50 × 566.09
  4. Step 4: Simplify right side
    864.75x = 675,056.36
  5. Step 5: Solve for x
    x = 675,056.36/864.75
  6. Step 6: Final answer
    x = 780.64

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