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Finding the Fourth Proportional to 1,307.77, 1,961.66 and 442.69

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Solution

The fourth proportional to 1,307.77, 1,961.66 and 442.69 is: 664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.77 : 1,961.66 = 442.69 : x
  2. Step 2: Convert to fraction form
    1,307.77/1,961.66 = 442.69/x
  3. Step 3: Cross multiply
    1,307.77x = 1,961.66 × 442.69
  4. Step 4: Simplify right side
    1,307.77x = 868,405.05
  5. Step 5: Solve for x
    x = 868,405.05/1,307.77
  6. Step 6: Final answer
    x = 664.04

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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.