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Finding the Fourth Proportional to 1,306.93, 1,961.15 and 485.77

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Solution

The fourth proportional to 1,306.93, 1,961.15 and 485.77 is: 728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.93 : 1,961.15 = 485.77 : x
  2. Step 2: Convert to fraction form
    1,306.93/1,961.15 = 485.77/x
  3. Step 3: Cross multiply
    1,306.93x = 1,961.15 × 485.77
  4. Step 4: Simplify right side
    1,306.93x = 952,658.03
  5. Step 5: Solve for x
    x = 952,658.03/1,306.93
  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.