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Finding the Fourth Proportional to 900.20, 1,343.73 and 832.53

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Solution

The fourth proportional to 900.20, 1,343.73 and 832.53 is: 1,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.20 : 1,343.73 = 832.53 : x
  2. Step 2: Convert to fraction form
    900.20/1,343.73 = 832.53/x
  3. Step 3: Cross multiply
    900.20x = 1,343.73 × 832.53
  4. Step 4: Simplify right side
    900.20x = 1,118,695.54
  5. Step 5: Solve for x
    x = 1,118,695.54/900.20
  6. Step 6: Final answer
    x = 1,242.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.