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Finding the Fourth Proportional to 761.75, 1,051.22 and 412.44

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Solution

The fourth proportional to 761.75, 1,051.22 and 412.44 is: 569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.75 : 1,051.22 = 412.44 : x
  2. Step 2: Convert to fraction form
    761.75/1,051.22 = 412.44/x
  3. Step 3: Cross multiply
    761.75x = 1,051.22 × 412.44
  4. Step 4: Simplify right side
    761.75x = 433,563.11
  5. Step 5: Solve for x
    x = 433,563.11/761.75
  6. Step 6: Final answer
    x = 569.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.