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Finding the Fourth Proportional to 1,307.49, 1,961.16 and 486.30

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Solution

The fourth proportional to 1,307.49, 1,961.16 and 486.30 is: 729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.49 : 1,961.16 = 486.30 : x
  2. Step 2: Convert to fraction form
    1,307.49/1,961.16 = 486.30/x
  3. Step 3: Cross multiply
    1,307.49x = 1,961.16 × 486.30
  4. Step 4: Simplify right side
    1,307.49x = 953,720.37
  5. Step 5: Solve for x
    x = 953,720.37/1,307.49
  6. Step 6: Final answer
    x = 729.43

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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.