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Finding the Fourth Proportional to 1,546.31, 2,318.86 and 571.75

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Solution

The fourth proportional to 1,546.31, 2,318.86 and 571.75 is: 857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.31 : 2,318.86 = 571.75 : x
  2. Step 2: Convert to fraction form
    1,546.31/2,318.86 = 571.75/x
  3. Step 3: Cross multiply
    1,546.31x = 2,318.86 × 571.75
  4. Step 4: Simplify right side
    1,546.31x = 1,325,803.12
  5. Step 5: Solve for x
    x = 1,325,803.12/1,546.31
  6. Step 6: Final answer
    x = 857.40

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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.