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Finding the Fourth Proportional to 767.58, 1,058.88 and 518.97

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Solution

The fourth proportional to 767.58, 1,058.88 and 518.97 is: 715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.58 : 1,058.88 = 518.97 : x
  2. Step 2: Convert to fraction form
    767.58/1,058.88 = 518.97/x
  3. Step 3: Cross multiply
    767.58x = 1,058.88 × 518.97
  4. Step 4: Simplify right side
    767.58x = 549,526.95
  5. Step 5: Solve for x
    x = 549,526.95/767.58
  6. Step 6: Final answer
    x = 715.92

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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.