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Finding the Fourth Proportional to 1,293.52, 1,939.77 and 562.60

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Solution

The fourth proportional to 1,293.52, 1,939.77 and 562.60 is: 843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.52 : 1,939.77 = 562.60 : x
  2. Step 2: Convert to fraction form
    1,293.52/1,939.77 = 562.60/x
  3. Step 3: Cross multiply
    1,293.52x = 1,939.77 × 562.60
  4. Step 4: Simplify right side
    1,293.52x = 1,091,314.60
  5. Step 5: Solve for x
    x = 1,091,314.60/1,293.52
  6. Step 6: Final answer
    x = 843.68

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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.