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Finding the Fourth Proportional to 767.03, 1,058.19 and 501.38

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Solution

The fourth proportional to 767.03, 1,058.19 and 501.38 is: 691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.03 : 1,058.19 = 501.38 : x
  2. Step 2: Convert to fraction form
    767.03/1,058.19 = 501.38/x
  3. Step 3: Cross multiply
    767.03x = 1,058.19 × 501.38
  4. Step 4: Simplify right side
    767.03x = 530,555.30
  5. Step 5: Solve for x
    x = 530,555.30/767.03
  6. Step 6: Final answer
    x = 691.70

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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.