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Finding the Fourth Proportional to 933.67, 1,288.68 and 560.86

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Solution

The fourth proportional to 933.67, 1,288.68 and 560.86 is: 774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.67 : 1,288.68 = 560.86 : x
  2. Step 2: Convert to fraction form
    933.67/1,288.68 = 560.86/x
  3. Step 3: Cross multiply
    933.67x = 1,288.68 × 560.86
  4. Step 4: Simplify right side
    933.67x = 722,769.06
  5. Step 5: Solve for x
    x = 722,769.06/933.67
  6. Step 6: Final answer
    x = 774.12

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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.