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Finding the Fourth Proportional to 1,352.26, 1,866.03 and 762.79

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Solution

The fourth proportional to 1,352.26, 1,866.03 and 762.79 is: 1,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.26 : 1,866.03 = 762.79 : x
  2. Step 2: Convert to fraction form
    1,352.26/1,866.03 = 762.79/x
  3. Step 3: Cross multiply
    1,352.26x = 1,866.03 × 762.79
  4. Step 4: Simplify right side
    1,352.26x = 1,423,389.02
  5. Step 5: Solve for x
    x = 1,423,389.02/1,352.26
  6. Step 6: Final answer
    x = 1,052.60

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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.