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Finding the Fourth Proportional to 1,162.87, 1,604.75 and 665.53

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Solution

The fourth proportional to 1,162.87, 1,604.75 and 665.53 is: 918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.87 : 1,604.75 = 665.53 : x
  2. Step 2: Convert to fraction form
    1,162.87/1,604.75 = 665.53/x
  3. Step 3: Cross multiply
    1,162.87x = 1,604.75 × 665.53
  4. Step 4: Simplify right side
    1,162.87x = 1,068,001.93
  5. Step 5: Solve for x
    x = 1,068,001.93/1,162.87
  6. Step 6: Final answer
    x = 918.42

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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.