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Finding the Fourth Proportional to 772.57, 1,159.05 and 407.26

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Solution

The fourth proportional to 772.57, 1,159.05 and 407.26 is: 610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.57 : 1,159.05 = 407.26 : x
  2. Step 2: Convert to fraction form
    772.57/1,159.05 = 407.26/x
  3. Step 3: Cross multiply
    772.57x = 1,159.05 × 407.26
  4. Step 4: Simplify right side
    772.57x = 472,028.91
  5. Step 5: Solve for x
    x = 472,028.91/772.57
  6. Step 6: Final answer
    x = 610.99

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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.