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Finding the Fourth Proportional to 1,307.58, 1,961.39 and 333.69

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Solution

The fourth proportional to 1,307.58, 1,961.39 and 333.69 is: 500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.58 : 1,961.39 = 333.69 : x
  2. Step 2: Convert to fraction form
    1,307.58/1,961.39 = 333.69/x
  3. Step 3: Cross multiply
    1,307.58x = 1,961.39 × 333.69
  4. Step 4: Simplify right side
    1,307.58x = 654,496.23
  5. Step 5: Solve for x
    x = 654,496.23/1,307.58
  6. Step 6: Final answer
    x = 500.54

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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.