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Finding the Fourth Proportional to 1,375.34, 1,897.89 and 785.93

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Solution

The fourth proportional to 1,375.34, 1,897.89 and 785.93 is: 1,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.34 : 1,897.89 = 785.93 : x
  2. Step 2: Convert to fraction form
    1,375.34/1,897.89 = 785.93/x
  3. Step 3: Cross multiply
    1,375.34x = 1,897.89 × 785.93
  4. Step 4: Simplify right side
    1,375.34x = 1,491,608.69
  5. Step 5: Solve for x
    x = 1,491,608.69/1,375.34
  6. Step 6: Final answer
    x = 1,084.54

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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.