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Finding the Fourth Proportional to 1,174.91, 1,762.29 and 353.16

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Solution

The fourth proportional to 1,174.91, 1,762.29 and 353.16 is: 529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.91 : 1,762.29 = 353.16 : x
  2. Step 2: Convert to fraction form
    1,174.91/1,762.29 = 353.16/x
  3. Step 3: Cross multiply
    1,174.91x = 1,762.29 × 353.16
  4. Step 4: Simplify right side
    1,174.91x = 622,370.34
  5. Step 5: Solve for x
    x = 622,370.34/1,174.91
  6. Step 6: Final answer
    x = 529.72

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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.