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Finding the Fourth Proportional to 858.48, 1,186.52 and 757.36

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Solution

The fourth proportional to 858.48, 1,186.52 and 757.36 is: 1,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.48 : 1,186.52 = 757.36 : x
  2. Step 2: Convert to fraction form
    858.48/1,186.52 = 757.36/x
  3. Step 3: Cross multiply
    858.48x = 1,186.52 × 757.36
  4. Step 4: Simplify right side
    858.48x = 898,622.79
  5. Step 5: Solve for x
    x = 898,622.79/858.48
  6. Step 6: Final answer
    x = 1,046.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.