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Finding the Fourth Proportional to 1,307.64, 1,961.48 and 333.75

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Solution

The fourth proportional to 1,307.64, 1,961.48 and 333.75 is: 500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.64 : 1,961.48 = 333.75 : x
  2. Step 2: Convert to fraction form
    1,307.64/1,961.48 = 333.75/x
  3. Step 3: Cross multiply
    1,307.64x = 1,961.48 × 333.75
  4. Step 4: Simplify right side
    1,307.64x = 654,643.95
  5. Step 5: Solve for x
    x = 654,643.95/1,307.64
  6. Step 6: Final answer
    x = 500.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.