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Finding the Fourth Proportional to 1,182.75, 1,775.49 and 923.04

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Solution

The fourth proportional to 1,182.75, 1,775.49 and 923.04 is: 1,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.75 : 1,775.49 = 923.04 : x
  2. Step 2: Convert to fraction form
    1,182.75/1,775.49 = 923.04/x
  3. Step 3: Cross multiply
    1,182.75x = 1,775.49 × 923.04
  4. Step 4: Simplify right side
    1,182.75x = 1,638,848.29
  5. Step 5: Solve for x
    x = 1,638,848.29/1,182.75
  6. Step 6: Final answer
    x = 1,385.63

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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.