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Finding the Fourth Proportional to 767.15, 1,058.62 and 417.83

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Solution

The fourth proportional to 767.15, 1,058.62 and 417.83 is: 576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.15 : 1,058.62 = 417.83 : x
  2. Step 2: Convert to fraction form
    767.15/1,058.62 = 417.83/x
  3. Step 3: Cross multiply
    767.15x = 1,058.62 × 417.83
  4. Step 4: Simplify right side
    767.15x = 442,321.11
  5. Step 5: Solve for x
    x = 442,321.11/767.15
  6. Step 6: Final answer
    x = 576.58

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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.