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Finding the Fourth Proportional to 1,307.81, 1,961.82 and 605.00

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Solution

The fourth proportional to 1,307.81, 1,961.82 and 605.00 is: 907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.81 : 1,961.82 = 605.00 : x
  2. Step 2: Convert to fraction form
    1,307.81/1,961.82 = 605.00/x
  3. Step 3: Cross multiply
    1,307.81x = 1,961.82 × 605.00
  4. Step 4: Simplify right side
    1,307.81x = 1,186,906.00
  5. Step 5: Solve for x
    x = 1,186,906.00/1,307.81
  6. Step 6: Final answer
    x = 907.55

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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.