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Finding the Fourth Proportional to 767.40, 1,059 and 418.08

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Solution

The fourth proportional to 767.40, 1,059 and 418.08 is: 576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.40 : 1,059 = 418.08 : x
  2. Step 2: Convert to fraction form
    767.40/1,059 = 418.08/x
  3. Step 3: Cross multiply
    767.40x = 1,059 × 418.08
  4. Step 4: Simplify right side
    767.40x = 442,746.72
  5. Step 5: Solve for x
    x = 442,746.72/767.40
  6. Step 6: Final answer
    x = 576.94

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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.