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Finding the Fourth Proportional to 917.52, 1,266.48 and 684.78

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Solution

The fourth proportional to 917.52, 1,266.48 and 684.78 is: 945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.52 : 1,266.48 = 684.78 : x
  2. Step 2: Convert to fraction form
    917.52/1,266.48 = 684.78/x
  3. Step 3: Cross multiply
    917.52x = 1,266.48 × 684.78
  4. Step 4: Simplify right side
    917.52x = 867,260.17
  5. Step 5: Solve for x
    x = 867,260.17/917.52
  6. Step 6: Final answer
    x = 945.22

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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.