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Finding the Fourth Proportional to 1,404.87, 1,938.74 and 775.43

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Solution

The fourth proportional to 1,404.87, 1,938.74 and 775.43 is: 1,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.87 : 1,938.74 = 775.43 : x
  2. Step 2: Convert to fraction form
    1,404.87/1,938.74 = 775.43/x
  3. Step 3: Cross multiply
    1,404.87x = 1,938.74 × 775.43
  4. Step 4: Simplify right side
    1,404.87x = 1,503,343.59
  5. Step 5: Solve for x
    x = 1,503,343.59/1,404.87
  6. Step 6: Final answer
    x = 1,070.09

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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.