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Finding the Fourth Proportional to 779.89, 1,076.06 and 465.27

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Solution

The fourth proportional to 779.89, 1,076.06 and 465.27 is: 641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.89 : 1,076.06 = 465.27 : x
  2. Step 2: Convert to fraction form
    779.89/1,076.06 = 465.27/x
  3. Step 3: Cross multiply
    779.89x = 1,076.06 × 465.27
  4. Step 4: Simplify right side
    779.89x = 500,656.71
  5. Step 5: Solve for x
    x = 500,656.71/779.89
  6. Step 6: Final answer
    x = 641.96

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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.