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Finding the Fourth Proportional to 1,367.51, 2,051.60 and 393.62

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Solution

The fourth proportional to 1,367.51, 2,051.60 and 393.62 is: 590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.51 : 2,051.60 = 393.62 : x
  2. Step 2: Convert to fraction form
    1,367.51/2,051.60 = 393.62/x
  3. Step 3: Cross multiply
    1,367.51x = 2,051.60 × 393.62
  4. Step 4: Simplify right side
    1,367.51x = 807,538.57
  5. Step 5: Solve for x
    x = 807,538.57/1,367.51
  6. Step 6: Final answer
    x = 590.52

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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.