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Finding the Fourth Proportional to 1,381.89, 1,907.01 and 760.89

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Solution

The fourth proportional to 1,381.89, 1,907.01 and 760.89 is: 1,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.89 : 1,907.01 = 760.89 : x
  2. Step 2: Convert to fraction form
    1,381.89/1,907.01 = 760.89/x
  3. Step 3: Cross multiply
    1,381.89x = 1,907.01 × 760.89
  4. Step 4: Simplify right side
    1,381.89x = 1,451,024.84
  5. Step 5: Solve for x
    x = 1,451,024.84/1,381.89
  6. Step 6: Final answer
    x = 1,050.03

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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.