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Finding the Fourth Proportional to 761.63, 1,142.09 and 350.65

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Solution

The fourth proportional to 761.63, 1,142.09 and 350.65 is: 525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.63 : 1,142.09 = 350.65 : x
  2. Step 2: Convert to fraction form
    761.63/1,142.09 = 350.65/x
  3. Step 3: Cross multiply
    761.63x = 1,142.09 × 350.65
  4. Step 4: Simplify right side
    761.63x = 400,466.39
  5. Step 5: Solve for x
    x = 400,466.39/761.63
  6. Step 6: Final answer
    x = 525.80

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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.