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Finding the Fourth Proportional to 513.04, 766.49 and 486.40

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Solution

The fourth proportional to 513.04, 766.49 and 486.40 is: 726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.04 : 766.49 = 486.40 : x
  2. Step 2: Convert to fraction form
    513.04/766.49 = 486.40/x
  3. Step 3: Cross multiply
    513.04x = 766.49 × 486.40
  4. Step 4: Simplify right side
    513.04x = 372,820.74
  5. Step 5: Solve for x
    x = 372,820.74/513.04
  6. Step 6: Final answer
    x = 726.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.