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Finding the Fourth Proportional to 767.13, 1,058.96 and 580.67

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Solution

The fourth proportional to 767.13, 1,058.96 and 580.67 is: 801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.13 : 1,058.96 = 580.67 : x
  2. Step 2: Convert to fraction form
    767.13/1,058.96 = 580.67/x
  3. Step 3: Cross multiply
    767.13x = 1,058.96 × 580.67
  4. Step 4: Simplify right side
    767.13x = 614,903.40
  5. Step 5: Solve for x
    x = 614,903.40/767.13
  6. Step 6: Final answer
    x = 801.56

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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.