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Finding the Fourth Proportional to 907.47, 1,361.12 and 516.24

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Solution

The fourth proportional to 907.47, 1,361.12 and 516.24 is: 774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.47 : 1,361.12 = 516.24 : x
  2. Step 2: Convert to fraction form
    907.47/1,361.12 = 516.24/x
  3. Step 3: Cross multiply
    907.47x = 1,361.12 × 516.24
  4. Step 4: Simplify right side
    907.47x = 702,662.01
  5. Step 5: Solve for x
    x = 702,662.01/907.47
  6. Step 6: Final answer
    x = 774.31

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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.