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Finding the Fourth Proportional to 936.29, 1,292.02 and 563.15

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Solution

The fourth proportional to 936.29, 1,292.02 and 563.15 is: 777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.29 : 1,292.02 = 563.15 : x
  2. Step 2: Convert to fraction form
    936.29/1,292.02 = 563.15/x
  3. Step 3: Cross multiply
    936.29x = 1,292.02 × 563.15
  4. Step 4: Simplify right side
    936.29x = 727,602.89
  5. Step 5: Solve for x
    x = 727,602.89/936.29
  6. Step 6: Final answer
    x = 777.11

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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.