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Finding the Fourth Proportional to 907.26, 1,361.08 and 468.34

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Solution

The fourth proportional to 907.26, 1,361.08 and 468.34 is: 702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.26 : 1,361.08 = 468.34 : x
  2. Step 2: Convert to fraction form
    907.26/1,361.08 = 468.34/x
  3. Step 3: Cross multiply
    907.26x = 1,361.08 × 468.34
  4. Step 4: Simplify right side
    907.26x = 637,448.21
  5. Step 5: Solve for x
    x = 637,448.21/907.26
  6. Step 6: Final answer
    x = 702.61

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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.