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Finding the Fourth Proportional to 1,134.46, 1,701.23 and 475.90

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Solution

The fourth proportional to 1,134.46, 1,701.23 and 475.90 is: 713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.46 : 1,701.23 = 475.90 : x
  2. Step 2: Convert to fraction form
    1,134.46/1,701.23 = 475.90/x
  3. Step 3: Cross multiply
    1,134.46x = 1,701.23 × 475.90
  4. Step 4: Simplify right side
    1,134.46x = 809,615.36
  5. Step 5: Solve for x
    x = 809,615.36/1,134.46
  6. Step 6: Final answer
    x = 713.66

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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.