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Finding the Fourth Proportional to 776.64, 1,165.44 and 772.80

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Solution

The fourth proportional to 776.64, 1,165.44 and 772.80 is: 1,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.64 : 1,165.44 = 772.80 : x
  2. Step 2: Convert to fraction form
    776.64/1,165.44 = 772.80/x
  3. Step 3: Cross multiply
    776.64x = 1,165.44 × 772.80
  4. Step 4: Simplify right side
    776.64x = 900,652.03
  5. Step 5: Solve for x
    x = 900,652.03/776.64
  6. Step 6: Final answer
    x = 1,159.68

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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.