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Finding the Fourth Proportional to 1,782.80, 2,673.59 and 687.07

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Solution

The fourth proportional to 1,782.80, 2,673.59 and 687.07 is: 1,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.80 : 2,673.59 = 687.07 : x
  2. Step 2: Convert to fraction form
    1,782.80/2,673.59 = 687.07/x
  3. Step 3: Cross multiply
    1,782.80x = 2,673.59 × 687.07
  4. Step 4: Simplify right side
    1,782.80x = 1,836,943.48
  5. Step 5: Solve for x
    x = 1,836,943.48/1,782.80
  6. Step 6: Final answer
    x = 1,030.37

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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.