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Finding the Fourth Proportional to 1,782.70, 2,672.16 and 686.59

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Solution

The fourth proportional to 1,782.70, 2,672.16 and 686.59 is: 1,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.70 : 2,672.16 = 686.59 : x
  2. Step 2: Convert to fraction form
    1,782.70/2,672.16 = 686.59/x
  3. Step 3: Cross multiply
    1,782.70x = 2,672.16 × 686.59
  4. Step 4: Simplify right side
    1,782.70x = 1,834,678.33
  5. Step 5: Solve for x
    x = 1,834,678.33/1,782.70
  6. Step 6: Final answer
    x = 1,029.16

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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.