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Finding the Fourth Proportional to 767.06, 1,058.52 and 417.74

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Solution

The fourth proportional to 767.06, 1,058.52 and 417.74 is: 576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.06 : 1,058.52 = 417.74 : x
  2. Step 2: Convert to fraction form
    767.06/1,058.52 = 417.74/x
  3. Step 3: Cross multiply
    767.06x = 1,058.52 × 417.74
  4. Step 4: Simplify right side
    767.06x = 442,186.14
  5. Step 5: Solve for x
    x = 442,186.14/767.06
  6. Step 6: Final answer
    x = 576.47

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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.