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Finding the Fourth Proportional to 933.09, 1,287.34 and 560.19

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Solution

The fourth proportional to 933.09, 1,287.34 and 560.19 is: 772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.09 : 1,287.34 = 560.19 : x
  2. Step 2: Convert to fraction form
    933.09/1,287.34 = 560.19/x
  3. Step 3: Cross multiply
    933.09x = 1,287.34 × 560.19
  4. Step 4: Simplify right side
    933.09x = 721,154.99
  5. Step 5: Solve for x
    x = 721,154.99/933.09
  6. Step 6: Final answer
    x = 772.87

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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.