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Finding the Fourth Proportional to 1,174.88, 1,762.49 and 353.13

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Solution

The fourth proportional to 1,174.88, 1,762.49 and 353.13 is: 529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.88 : 1,762.49 = 353.13 : x
  2. Step 2: Convert to fraction form
    1,174.88/1,762.49 = 353.13/x
  3. Step 3: Cross multiply
    1,174.88x = 1,762.49 × 353.13
  4. Step 4: Simplify right side
    1,174.88x = 622,387.65
  5. Step 5: Solve for x
    x = 622,387.65/1,174.88
  6. Step 6: Final answer
    x = 529.75

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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.