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Finding the Fourth Proportional to 604.54, 912.56 and 598.06

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Solution

The fourth proportional to 604.54, 912.56 and 598.06 is: 902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.54 : 912.56 = 598.06 : x
  2. Step 2: Convert to fraction form
    604.54/912.56 = 598.06/x
  3. Step 3: Cross multiply
    604.54x = 912.56 × 598.06
  4. Step 4: Simplify right side
    604.54x = 545,765.63
  5. Step 5: Solve for x
    x = 545,765.63/604.54
  6. Step 6: Final answer
    x = 902.78

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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.