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Finding the Fourth Proportional to 1,307.22, 1,961.09 and 382.78

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Solution

The fourth proportional to 1,307.22, 1,961.09 and 382.78 is: 574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.22 : 1,961.09 = 382.78 : x
  2. Step 2: Convert to fraction form
    1,307.22/1,961.09 = 382.78/x
  3. Step 3: Cross multiply
    1,307.22x = 1,961.09 × 382.78
  4. Step 4: Simplify right side
    1,307.22x = 750,666.03
  5. Step 5: Solve for x
    x = 750,666.03/1,307.22
  6. Step 6: Final answer
    x = 574.25

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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.