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Finding the Fourth Proportional to 1,246.26, 1,868.23 and 782.63

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Solution

The fourth proportional to 1,246.26, 1,868.23 and 782.63 is: 1,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.26 : 1,868.23 = 782.63 : x
  2. Step 2: Convert to fraction form
    1,246.26/1,868.23 = 782.63/x
  3. Step 3: Cross multiply
    1,246.26x = 1,868.23 × 782.63
  4. Step 4: Simplify right side
    1,246.26x = 1,462,132.84
  5. Step 5: Solve for x
    x = 1,462,132.84/1,246.26
  6. Step 6: Final answer
    x = 1,173.22

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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.