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Finding the Fourth Proportional to 1,150.22, 1,725.90 and 456.87

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Solution

The fourth proportional to 1,150.22, 1,725.90 and 456.87 is: 685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.22 : 1,725.90 = 456.87 : x
  2. Step 2: Convert to fraction form
    1,150.22/1,725.90 = 456.87/x
  3. Step 3: Cross multiply
    1,150.22x = 1,725.90 × 456.87
  4. Step 4: Simplify right side
    1,150.22x = 788,511.93
  5. Step 5: Solve for x
    x = 788,511.93/1,150.22
  6. Step 6: Final answer
    x = 685.53

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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.