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Finding the Fourth Proportional to 1,367.93, 2,053.26 and 638.02

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Solution

The fourth proportional to 1,367.93, 2,053.26 and 638.02 is: 957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.93 : 2,053.26 = 638.02 : x
  2. Step 2: Convert to fraction form
    1,367.93/2,053.26 = 638.02/x
  3. Step 3: Cross multiply
    1,367.93x = 2,053.26 × 638.02
  4. Step 4: Simplify right side
    1,367.93x = 1,310,015.81
  5. Step 5: Solve for x
    x = 1,310,015.81/1,367.93
  6. Step 6: Final answer
    x = 957.66

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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.