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Finding the Fourth Proportional to 777.04, 1,165.72 and 264.08

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Solution

The fourth proportional to 777.04, 1,165.72 and 264.08 is: 396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.04 : 1,165.72 = 264.08 : x
  2. Step 2: Convert to fraction form
    777.04/1,165.72 = 264.08/x
  3. Step 3: Cross multiply
    777.04x = 1,165.72 × 264.08
  4. Step 4: Simplify right side
    777.04x = 307,843.34
  5. Step 5: Solve for x
    x = 307,843.34/777.04
  6. Step 6: Final answer
    x = 396.17

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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.