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Finding the Fourth Proportional to 1,307.59, 1,961.16 and 485.80

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Solution

The fourth proportional to 1,307.59, 1,961.16 and 485.80 is: 728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.59 : 1,961.16 = 485.80 : x
  2. Step 2: Convert to fraction form
    1,307.59/1,961.16 = 485.80/x
  3. Step 3: Cross multiply
    1,307.59x = 1,961.16 × 485.80
  4. Step 4: Simplify right side
    1,307.59x = 952,727.54
  5. Step 5: Solve for x
    x = 952,727.54/1,307.59
  6. Step 6: Final answer
    x = 728.61

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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.