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Finding the Fourth Proportional to 615.04, 921.34 and 506.90

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Solution

The fourth proportional to 615.04, 921.34 and 506.90 is: 759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.04 : 921.34 = 506.90 : x
  2. Step 2: Convert to fraction form
    615.04/921.34 = 506.90/x
  3. Step 3: Cross multiply
    615.04x = 921.34 × 506.90
  4. Step 4: Simplify right side
    615.04x = 467,027.25
  5. Step 5: Solve for x
    x = 467,027.25/615.04
  6. Step 6: Final answer
    x = 759.34

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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.