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Finding the Fourth Proportional to 764.67, 1,056.05 and 567.84

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Solution

The fourth proportional to 764.67, 1,056.05 and 567.84 is: 784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.67 : 1,056.05 = 567.84 : x
  2. Step 2: Convert to fraction form
    764.67/1,056.05 = 567.84/x
  3. Step 3: Cross multiply
    764.67x = 1,056.05 × 567.84
  4. Step 4: Simplify right side
    764.67x = 599,664.59
  5. Step 5: Solve for x
    x = 599,664.59/764.67
  6. Step 6: Final answer
    x = 784.21

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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.