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Finding the Fourth Proportional to 772.90, 1,159.12 and 304.29

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Solution

The fourth proportional to 772.90, 1,159.12 and 304.29 is: 456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.90 : 1,159.12 = 304.29 : x
  2. Step 2: Convert to fraction form
    772.90/1,159.12 = 304.29/x
  3. Step 3: Cross multiply
    772.90x = 1,159.12 × 304.29
  4. Step 4: Simplify right side
    772.90x = 352,708.62
  5. Step 5: Solve for x
    x = 352,708.62/772.90
  6. Step 6: Final answer
    x = 456.34

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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.