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Finding the Fourth Proportional to 1,485.37, 2,227.26 and 497.81

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Solution

The fourth proportional to 1,485.37, 2,227.26 and 497.81 is: 746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.37 : 2,227.26 = 497.81 : x
  2. Step 2: Convert to fraction form
    1,485.37/2,227.26 = 497.81/x
  3. Step 3: Cross multiply
    1,485.37x = 2,227.26 × 497.81
  4. Step 4: Simplify right side
    1,485.37x = 1,108,759.74
  5. Step 5: Solve for x
    x = 1,108,759.74/1,485.37
  6. Step 6: Final answer
    x = 746.45

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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.