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Finding the Fourth Proportional to 776.86, 1,071.82 and 482.23

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Solution

The fourth proportional to 776.86, 1,071.82 and 482.23 is: 665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.86 : 1,071.82 = 482.23 : x
  2. Step 2: Convert to fraction form
    776.86/1,071.82 = 482.23/x
  3. Step 3: Cross multiply
    776.86x = 1,071.82 × 482.23
  4. Step 4: Simplify right side
    776.86x = 516,863.76
  5. Step 5: Solve for x
    x = 516,863.76/776.86
  6. Step 6: Final answer
    x = 665.32

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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.