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Finding the Fourth Proportional to 767.06, 1,058.57 and 417.77

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Solution

The fourth proportional to 767.06, 1,058.57 and 417.77 is: 576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.06 : 1,058.57 = 417.77 : x
  2. Step 2: Convert to fraction form
    767.06/1,058.57 = 417.77/x
  3. Step 3: Cross multiply
    767.06x = 1,058.57 × 417.77
  4. Step 4: Simplify right side
    767.06x = 442,240.91
  5. Step 5: Solve for x
    x = 442,240.91/767.06
  6. Step 6: Final answer
    x = 576.54

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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.