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Finding the Fourth Proportional to 1,051.29, 1,578.29 and 743.31

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Solution

The fourth proportional to 1,051.29, 1,578.29 and 743.31 is: 1,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.29 : 1,578.29 = 743.31 : x
  2. Step 2: Convert to fraction form
    1,051.29/1,578.29 = 743.31/x
  3. Step 3: Cross multiply
    1,051.29x = 1,578.29 × 743.31
  4. Step 4: Simplify right side
    1,051.29x = 1,173,155.02
  5. Step 5: Solve for x
    x = 1,173,155.02/1,051.29
  6. Step 6: Final answer
    x = 1,115.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.