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Finding the Fourth Proportional to 777.70, 1,167.31 and 606.23

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Solution

The fourth proportional to 777.70, 1,167.31 and 606.23 is: 909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.70 : 1,167.31 = 606.23 : x
  2. Step 2: Convert to fraction form
    777.70/1,167.31 = 606.23/x
  3. Step 3: Cross multiply
    777.70x = 1,167.31 × 606.23
  4. Step 4: Simplify right side
    777.70x = 707,659.74
  5. Step 5: Solve for x
    x = 707,659.74/777.70
  6. Step 6: Final answer
    x = 909.94

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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.