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Finding the Fourth Proportional to 772.70, 1,065.49 and 551.56

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Solution

The fourth proportional to 772.70, 1,065.49 and 551.56 is: 760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.70 : 1,065.49 = 551.56 : x
  2. Step 2: Convert to fraction form
    772.70/1,065.49 = 551.56/x
  3. Step 3: Cross multiply
    772.70x = 1,065.49 × 551.56
  4. Step 4: Simplify right side
    772.70x = 587,681.66
  5. Step 5: Solve for x
    x = 587,681.66/772.70
  6. Step 6: Final answer
    x = 760.56

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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.