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Finding the Fourth Proportional to 905.30, 1,357.18 and 862.24

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Solution

The fourth proportional to 905.30, 1,357.18 and 862.24 is: 1,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.30 : 1,357.18 = 862.24 : x
  2. Step 2: Convert to fraction form
    905.30/1,357.18 = 862.24/x
  3. Step 3: Cross multiply
    905.30x = 1,357.18 × 862.24
  4. Step 4: Simplify right side
    905.30x = 1,170,214.88
  5. Step 5: Solve for x
    x = 1,170,214.88/905.30
  6. Step 6: Final answer
    x = 1,292.63

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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.