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Finding the Fourth Proportional to 894.95, 1,340.67 and 616.64

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Solution

The fourth proportional to 894.95, 1,340.67 and 616.64 is: 923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.95 : 1,340.67 = 616.64 : x
  2. Step 2: Convert to fraction form
    894.95/1,340.67 = 616.64/x
  3. Step 3: Cross multiply
    894.95x = 1,340.67 × 616.64
  4. Step 4: Simplify right side
    894.95x = 826,712.56
  5. Step 5: Solve for x
    x = 826,712.56/894.95
  6. Step 6: Final answer
    x = 923.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.