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Finding the Fourth Proportional to 1,134.20, 1,700.09 and 475.91

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Solution

The fourth proportional to 1,134.20, 1,700.09 and 475.91 is: 713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.20 : 1,700.09 = 475.91 : x
  2. Step 2: Convert to fraction form
    1,134.20/1,700.09 = 475.91/x
  3. Step 3: Cross multiply
    1,134.20x = 1,700.09 × 475.91
  4. Step 4: Simplify right side
    1,134.20x = 809,087.11
  5. Step 5: Solve for x
    x = 809,087.11/1,134.20
  6. Step 6: Final answer
    x = 713.35

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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.