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Finding the Fourth Proportional to 766.08, 1,056.08 and 569.24

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Solution

The fourth proportional to 766.08, 1,056.08 and 569.24 is: 784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.08 : 1,056.08 = 569.24 : x
  2. Step 2: Convert to fraction form
    766.08/1,056.08 = 569.24/x
  3. Step 3: Cross multiply
    766.08x = 1,056.08 × 569.24
  4. Step 4: Simplify right side
    766.08x = 601,162.98
  5. Step 5: Solve for x
    x = 601,162.98/766.08
  6. Step 6: Final answer
    x = 784.73

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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.