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Finding the Fourth Proportional to 767.30, 1,058.78 and 519.16

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Solution

The fourth proportional to 767.30, 1,058.78 and 519.16 is: 716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.30 : 1,058.78 = 519.16 : x
  2. Step 2: Convert to fraction form
    767.30/1,058.78 = 519.16/x
  3. Step 3: Cross multiply
    767.30x = 1,058.78 × 519.16
  4. Step 4: Simplify right side
    767.30x = 549,676.22
  5. Step 5: Solve for x
    x = 549,676.22/767.30
  6. Step 6: Final answer
    x = 716.38

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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.