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Finding the Fourth Proportional to 776.40, 1,165.36 and 406.57

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Solution

The fourth proportional to 776.40, 1,165.36 and 406.57 is: 610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.40 : 1,165.36 = 406.57 : x
  2. Step 2: Convert to fraction form
    776.40/1,165.36 = 406.57/x
  3. Step 3: Cross multiply
    776.40x = 1,165.36 × 406.57
  4. Step 4: Simplify right side
    776.40x = 473,800.42
  5. Step 5: Solve for x
    x = 473,800.42/776.40
  6. Step 6: Final answer
    x = 610.25

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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.