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Finding the Fourth Proportional to 776.24, 1,164.39 and 429.76

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Solution

The fourth proportional to 776.24, 1,164.39 and 429.76 is: 644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.24 : 1,164.39 = 429.76 : x
  2. Step 2: Convert to fraction form
    776.24/1,164.39 = 429.76/x
  3. Step 3: Cross multiply
    776.24x = 1,164.39 × 429.76
  4. Step 4: Simplify right side
    776.24x = 500,408.25
  5. Step 5: Solve for x
    x = 500,408.25/776.24
  6. Step 6: Final answer
    x = 644.66

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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.