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Finding the Fourth Proportional to 1,335.12, 1,842.50 and 745.70

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Solution

The fourth proportional to 1,335.12, 1,842.50 and 745.70 is: 1,029.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.12 : 1,842.50 = 745.70 : x
  2. Step 2: Convert to fraction form
    1,335.12/1,842.50 = 745.70/x
  3. Step 3: Cross multiply
    1,335.12x = 1,842.50 × 745.70
  4. Step 4: Simplify right side
    1,335.12x = 1,373,939.31
  5. Step 5: Solve for x
    x = 1,373,939.31/1,335.12
  6. Step 6: Final answer
    x = 1,029.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.