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Finding the Fourth Proportional to 1,237.77, 1,856.66 and 467.73

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Solution

The fourth proportional to 1,237.77, 1,856.66 and 467.73 is: 701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.77 : 1,856.66 = 467.73 : x
  2. Step 2: Convert to fraction form
    1,237.77/1,856.66 = 467.73/x
  3. Step 3: Cross multiply
    1,237.77x = 1,856.66 × 467.73
  4. Step 4: Simplify right side
    1,237.77x = 868,413.24
  5. Step 5: Solve for x
    x = 868,413.24/1,237.77
  6. Step 6: Final answer
    x = 701.60

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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.