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Finding the Fourth Proportional to 776.15, 1,164.43 and 405.98

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Solution

The fourth proportional to 776.15, 1,164.43 and 405.98 is: 609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.15 : 1,164.43 = 405.98 : x
  2. Step 2: Convert to fraction form
    776.15/1,164.43 = 405.98/x
  3. Step 3: Cross multiply
    776.15x = 1,164.43 × 405.98
  4. Step 4: Simplify right side
    776.15x = 472,735.29
  5. Step 5: Solve for x
    x = 472,735.29/776.15
  6. Step 6: Final answer
    x = 609.08

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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.