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Finding the Fourth Proportional to 1,318.76, 1,976.62 and 496.51

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Solution

The fourth proportional to 1,318.76, 1,976.62 and 496.51 is: 744.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.76 : 1,976.62 = 496.51 : x
  2. Step 2: Convert to fraction form
    1,318.76/1,976.62 = 496.51/x
  3. Step 3: Cross multiply
    1,318.76x = 1,976.62 × 496.51
  4. Step 4: Simplify right side
    1,318.76x = 981,411.60
  5. Step 5: Solve for x
    x = 981,411.60/1,318.76
  6. Step 6: Final answer
    x = 744.19

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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.