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Finding the Fourth Proportional to 1,162.74, 1,604.58 and 638.79

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Solution

The fourth proportional to 1,162.74, 1,604.58 and 638.79 is: 881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.74 : 1,604.58 = 638.79 : x
  2. Step 2: Convert to fraction form
    1,162.74/1,604.58 = 638.79/x
  3. Step 3: Cross multiply
    1,162.74x = 1,604.58 × 638.79
  4. Step 4: Simplify right side
    1,162.74x = 1,024,989.66
  5. Step 5: Solve for x
    x = 1,024,989.66/1,162.74
  6. Step 6: Final answer
    x = 881.53

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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.