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Finding the Fourth Proportional to 1,265.92, 1,899 and 485.92

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Solution

The fourth proportional to 1,265.92, 1,899 and 485.92 is: 728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.92 : 1,899 = 485.92 : x
  2. Step 2: Convert to fraction form
    1,265.92/1,899 = 485.92/x
  3. Step 3: Cross multiply
    1,265.92x = 1,899 × 485.92
  4. Step 4: Simplify right side
    1,265.92x = 922,762.08
  5. Step 5: Solve for x
    x = 922,762.08/1,265.92
  6. Step 6: Final answer
    x = 728.93

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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.