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Finding the Fourth Proportional to 918.15, 1,377.81 and 857.40

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Solution

The fourth proportional to 918.15, 1,377.81 and 857.40 is: 1,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.15 : 1,377.81 = 857.40 : x
  2. Step 2: Convert to fraction form
    918.15/1,377.81 = 857.40/x
  3. Step 3: Cross multiply
    918.15x = 1,377.81 × 857.40
  4. Step 4: Simplify right side
    918.15x = 1,181,334.29
  5. Step 5: Solve for x
    x = 1,181,334.29/918.15
  6. Step 6: Final answer
    x = 1,286.65

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Why These Related Problems?

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