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Finding the Fourth Proportional to 1,174.06, 1,760.65 and 352.06

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Solution

The fourth proportional to 1,174.06, 1,760.65 and 352.06 is: 527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.06 : 1,760.65 = 352.06 : x
  2. Step 2: Convert to fraction form
    1,174.06/1,760.65 = 352.06/x
  3. Step 3: Cross multiply
    1,174.06x = 1,760.65 × 352.06
  4. Step 4: Simplify right side
    1,174.06x = 619,849.16
  5. Step 5: Solve for x
    x = 619,849.16/1,174.06
  6. Step 6: Final answer
    x = 527.95

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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.