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Finding the Fourth Proportional to 1,159.76, 1,600.41 and 662.48

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Solution

The fourth proportional to 1,159.76, 1,600.41 and 662.48 is: 914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.76 : 1,600.41 = 662.48 : x
  2. Step 2: Convert to fraction form
    1,159.76/1,600.41 = 662.48/x
  3. Step 3: Cross multiply
    1,159.76x = 1,600.41 × 662.48
  4. Step 4: Simplify right side
    1,159.76x = 1,060,239.62
  5. Step 5: Solve for x
    x = 1,060,239.62/1,159.76
  6. Step 6: Final answer
    x = 914.19

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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.