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Finding the Fourth Proportional to 1,155.06, 1,593.73 and 676.42

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Solution

The fourth proportional to 1,155.06, 1,593.73 and 676.42 is: 933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.06 : 1,593.73 = 676.42 : x
  2. Step 2: Convert to fraction form
    1,155.06/1,593.73 = 676.42/x
  3. Step 3: Cross multiply
    1,155.06x = 1,593.73 × 676.42
  4. Step 4: Simplify right side
    1,155.06x = 1,078,030.85
  5. Step 5: Solve for x
    x = 1,078,030.85/1,155.06
  6. Step 6: Final answer
    x = 933.31

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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.