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Finding the Fourth Proportional to 1,375.33, 1,897.98 and 745.87

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Solution

The fourth proportional to 1,375.33, 1,897.98 and 745.87 is: 1,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.33 : 1,897.98 = 745.87 : x
  2. Step 2: Convert to fraction form
    1,375.33/1,897.98 = 745.87/x
  3. Step 3: Cross multiply
    1,375.33x = 1,897.98 × 745.87
  4. Step 4: Simplify right side
    1,375.33x = 1,415,646.34
  5. Step 5: Solve for x
    x = 1,415,646.34/1,375.33
  6. Step 6: Final answer
    x = 1,029.31

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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.