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Finding the Fourth Proportional to 684.50, 945.03 and 536.78

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Solution

The fourth proportional to 684.50, 945.03 and 536.78 is: 741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.50 : 945.03 = 536.78 : x
  2. Step 2: Convert to fraction form
    684.50/945.03 = 536.78/x
  3. Step 3: Cross multiply
    684.50x = 945.03 × 536.78
  4. Step 4: Simplify right side
    684.50x = 507,273.20
  5. Step 5: Solve for x
    x = 507,273.20/684.50
  6. Step 6: Final answer
    x = 741.09

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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.