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Finding the Fourth Proportional to 777.81, 1,165.68 and 412.32

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Solution

The fourth proportional to 777.81, 1,165.68 and 412.32 is: 617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.81 : 1,165.68 = 412.32 : x
  2. Step 2: Convert to fraction form
    777.81/1,165.68 = 412.32/x
  3. Step 3: Cross multiply
    777.81x = 1,165.68 × 412.32
  4. Step 4: Simplify right side
    777.81x = 480,633.18
  5. Step 5: Solve for x
    x = 480,633.18/777.81
  6. Step 6: Final answer
    x = 617.93

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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.