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Finding the Fourth Proportional to 907.69, 1,361.55 and 475.69

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Solution

The fourth proportional to 907.69, 1,361.55 and 475.69 is: 713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.69 : 1,361.55 = 475.69 : x
  2. Step 2: Convert to fraction form
    907.69/1,361.55 = 475.69/x
  3. Step 3: Cross multiply
    907.69x = 1,361.55 × 475.69
  4. Step 4: Simplify right side
    907.69x = 647,675.72
  5. Step 5: Solve for x
    x = 647,675.72/907.69
  6. Step 6: Final answer
    x = 713.54

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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.