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Finding the Fourth Proportional to 659.78, 908.41 and 581.04

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Solution

The fourth proportional to 659.78, 908.41 and 581.04 is: 800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.78 : 908.41 = 581.04 : x
  2. Step 2: Convert to fraction form
    659.78/908.41 = 581.04/x
  3. Step 3: Cross multiply
    659.78x = 908.41 × 581.04
  4. Step 4: Simplify right side
    659.78x = 527,822.55
  5. Step 5: Solve for x
    x = 527,822.55/659.78
  6. Step 6: Final answer
    x = 800.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.