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Finding the Fourth Proportional to 1,307.43, 1,961.75 and 485.99

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Solution

The fourth proportional to 1,307.43, 1,961.75 and 485.99 is: 729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.43 : 1,961.75 = 485.99 : x
  2. Step 2: Convert to fraction form
    1,307.43/1,961.75 = 485.99/x
  3. Step 3: Cross multiply
    1,307.43x = 1,961.75 × 485.99
  4. Step 4: Simplify right side
    1,307.43x = 953,378.64
  5. Step 5: Solve for x
    x = 953,378.64/1,307.43
  6. Step 6: Final answer
    x = 729.20

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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.