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Finding the Fourth Proportional to 767.46, 1,059.08 and 418.14

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Solution

The fourth proportional to 767.46, 1,059.08 and 418.14 is: 577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.46 : 1,059.08 = 418.14 : x
  2. Step 2: Convert to fraction form
    767.46/1,059.08 = 418.14/x
  3. Step 3: Cross multiply
    767.46x = 1,059.08 × 418.14
  4. Step 4: Simplify right side
    767.46x = 442,843.71
  5. Step 5: Solve for x
    x = 442,843.71/767.46
  6. Step 6: Final answer
    x = 577.03

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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.