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Finding the Fourth Proportional to 1,335.18, 1,842.72 and 745.86

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Solution

The fourth proportional to 1,335.18, 1,842.72 and 745.86 is: 1,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.18 : 1,842.72 = 745.86 : x
  2. Step 2: Convert to fraction form
    1,335.18/1,842.72 = 745.86/x
  3. Step 3: Cross multiply
    1,335.18x = 1,842.72 × 745.86
  4. Step 4: Simplify right side
    1,335.18x = 1,374,411.14
  5. Step 5: Solve for x
    x = 1,374,411.14/1,335.18
  6. Step 6: Final answer
    x = 1,029.38

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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.