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Finding the Fourth Proportional to 779.62, 1,076.13 and 465.07

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Solution

The fourth proportional to 779.62, 1,076.13 and 465.07 is: 641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.62 : 1,076.13 = 465.07 : x
  2. Step 2: Convert to fraction form
    779.62/1,076.13 = 465.07/x
  3. Step 3: Cross multiply
    779.62x = 1,076.13 × 465.07
  4. Step 4: Simplify right side
    779.62x = 500,475.78
  5. Step 5: Solve for x
    x = 500,475.78/779.62
  6. Step 6: Final answer
    x = 641.95

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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.