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Finding the Fourth Proportional to 776.48, 1,164.34 and 451.96

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Solution

The fourth proportional to 776.48, 1,164.34 and 451.96 is: 677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.48 : 1,164.34 = 451.96 : x
  2. Step 2: Convert to fraction form
    776.48/1,164.34 = 451.96/x
  3. Step 3: Cross multiply
    776.48x = 1,164.34 × 451.96
  4. Step 4: Simplify right side
    776.48x = 526,235.11
  5. Step 5: Solve for x
    x = 526,235.11/776.48
  6. Step 6: Final answer
    x = 677.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.