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Finding the Fourth Proportional to 670.11, 923.07 and 559.54

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Solution

The fourth proportional to 670.11, 923.07 and 559.54 is: 770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.11 : 923.07 = 559.54 : x
  2. Step 2: Convert to fraction form
    670.11/923.07 = 559.54/x
  3. Step 3: Cross multiply
    670.11x = 923.07 × 559.54
  4. Step 4: Simplify right side
    670.11x = 516,494.59
  5. Step 5: Solve for x
    x = 516,494.59/670.11
  6. Step 6: Final answer
    x = 770.76

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Why These Related Problems?

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