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Finding the Fourth Proportional to 1,237.92, 1,856.77 and 313.48

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Solution

The fourth proportional to 1,237.92, 1,856.77 and 313.48 is: 470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.92 : 1,856.77 = 313.48 : x
  2. Step 2: Convert to fraction form
    1,237.92/1,856.77 = 313.48/x
  3. Step 3: Cross multiply
    1,237.92x = 1,856.77 × 313.48
  4. Step 4: Simplify right side
    1,237.92x = 582,060.26
  5. Step 5: Solve for x
    x = 582,060.26/1,237.92
  6. Step 6: Final answer
    x = 470.19

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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.