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Finding the Fourth Proportional to 1,307.59, 1,961.40 and 441.91

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Solution

The fourth proportional to 1,307.59, 1,961.40 and 441.91 is: 662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.59 : 1,961.40 = 441.91 : x
  2. Step 2: Convert to fraction form
    1,307.59/1,961.40 = 441.91/x
  3. Step 3: Cross multiply
    1,307.59x = 1,961.40 × 441.91
  4. Step 4: Simplify right side
    1,307.59x = 866,762.27
  5. Step 5: Solve for x
    x = 866,762.27/1,307.59
  6. Step 6: Final answer
    x = 662.87

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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.