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Finding the Fourth Proportional to 907.34, 1,367.62 and 825.32

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Solution

The fourth proportional to 907.34, 1,367.62 and 825.32 is: 1,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.34 : 1,367.62 = 825.32 : x
  2. Step 2: Convert to fraction form
    907.34/1,367.62 = 825.32/x
  3. Step 3: Cross multiply
    907.34x = 1,367.62 × 825.32
  4. Step 4: Simplify right side
    907.34x = 1,128,725.49
  5. Step 5: Solve for x
    x = 1,128,725.49/907.34
  6. Step 6: Final answer
    x = 1,244.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.