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Finding the Fourth Proportional to 511.64, 771.04 and 486.93

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Solution

The fourth proportional to 511.64, 771.04 and 486.93 is: 733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.64 : 771.04 = 486.93 : x
  2. Step 2: Convert to fraction form
    511.64/771.04 = 486.93/x
  3. Step 3: Cross multiply
    511.64x = 771.04 × 486.93
  4. Step 4: Simplify right side
    511.64x = 375,442.51
  5. Step 5: Solve for x
    x = 375,442.51/511.64
  6. Step 6: Final answer
    x = 733.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.