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Finding the Fourth Proportional to 1,335.03, 1,842.34 and 745.58

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Solution

The fourth proportional to 1,335.03, 1,842.34 and 745.58 is: 1,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.03 : 1,842.34 = 745.58 : x
  2. Step 2: Convert to fraction form
    1,335.03/1,842.34 = 745.58/x
  3. Step 3: Cross multiply
    1,335.03x = 1,842.34 × 745.58
  4. Step 4: Simplify right side
    1,335.03x = 1,373,608.13
  5. Step 5: Solve for x
    x = 1,373,608.13/1,335.03
  6. Step 6: Final answer
    x = 1,028.90

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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.