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Finding the Fourth Proportional to 1,289.63, 1,780.09 and 823.88

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Solution

The fourth proportional to 1,289.63, 1,780.09 and 823.88 is: 1,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.63 : 1,780.09 = 823.88 : x
  2. Step 2: Convert to fraction form
    1,289.63/1,780.09 = 823.88/x
  3. Step 3: Cross multiply
    1,289.63x = 1,780.09 × 823.88
  4. Step 4: Simplify right side
    1,289.63x = 1,466,580.55
  5. Step 5: Solve for x
    x = 1,466,580.55/1,289.63
  6. Step 6: Final answer
    x = 1,137.21

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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.