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Finding the Fourth Proportional to 772.29, 1,159.38 and 407.30

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Solution

The fourth proportional to 772.29, 1,159.38 and 407.30 is: 611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.29 : 1,159.38 = 407.30 : x
  2. Step 2: Convert to fraction form
    772.29/1,159.38 = 407.30/x
  3. Step 3: Cross multiply
    772.29x = 1,159.38 × 407.30
  4. Step 4: Simplify right side
    772.29x = 472,209.68
  5. Step 5: Solve for x
    x = 472,209.68/772.29
  6. Step 6: Final answer
    x = 611.44

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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.