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Finding the Fourth Proportional to 1,536.56, 2,303.20 and 757.08

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Solution

The fourth proportional to 1,536.56, 2,303.20 and 757.08 is: 1,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.56 : 2,303.20 = 757.08 : x
  2. Step 2: Convert to fraction form
    1,536.56/2,303.20 = 757.08/x
  3. Step 3: Cross multiply
    1,536.56x = 2,303.20 × 757.08
  4. Step 4: Simplify right side
    1,536.56x = 1,743,706.66
  5. Step 5: Solve for x
    x = 1,743,706.66/1,536.56
  6. Step 6: Final answer
    x = 1,134.81

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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.