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Finding the Fourth Proportional to 1,148.26, 1,719.46 and 757.07

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Solution

The fourth proportional to 1,148.26, 1,719.46 and 757.07 is: 1,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.26 : 1,719.46 = 757.07 : x
  2. Step 2: Convert to fraction form
    1,148.26/1,719.46 = 757.07/x
  3. Step 3: Cross multiply
    1,148.26x = 1,719.46 × 757.07
  4. Step 4: Simplify right side
    1,148.26x = 1,301,751.58
  5. Step 5: Solve for x
    x = 1,301,751.58/1,148.26
  6. Step 6: Final answer
    x = 1,133.68

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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.