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Finding the Fourth Proportional to 1,025.92, 1,415.54 and 606.30

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Solution

The fourth proportional to 1,025.92, 1,415.54 and 606.30 is: 836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.92 : 1,415.54 = 606.30 : x
  2. Step 2: Convert to fraction form
    1,025.92/1,415.54 = 606.30/x
  3. Step 3: Cross multiply
    1,025.92x = 1,415.54 × 606.30
  4. Step 4: Simplify right side
    1,025.92x = 858,241.90
  5. Step 5: Solve for x
    x = 858,241.90/1,025.92
  6. Step 6: Final answer
    x = 836.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.