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Finding the Fourth Proportional to 1,307.12, 1,961 and 382.76

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Solution

The fourth proportional to 1,307.12, 1,961 and 382.76 is: 574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.12 : 1,961 = 382.76 : x
  2. Step 2: Convert to fraction form
    1,307.12/1,961 = 382.76/x
  3. Step 3: Cross multiply
    1,307.12x = 1,961 × 382.76
  4. Step 4: Simplify right side
    1,307.12x = 750,592.36
  5. Step 5: Solve for x
    x = 750,592.36/1,307.12
  6. Step 6: Final answer
    x = 574.23

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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.