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Finding the Fourth Proportional to 767.09, 1,058.53 and 417.75

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Solution

The fourth proportional to 767.09, 1,058.53 and 417.75 is: 576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.09 : 1,058.53 = 417.75 : x
  2. Step 2: Convert to fraction form
    767.09/1,058.53 = 417.75/x
  3. Step 3: Cross multiply
    767.09x = 1,058.53 × 417.75
  4. Step 4: Simplify right side
    767.09x = 442,200.91
  5. Step 5: Solve for x
    x = 442,200.91/767.09
  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.