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Finding the Fourth Proportional to 1,389.40, 1,917.42 and 759.89

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Solution

The fourth proportional to 1,389.40, 1,917.42 and 759.89 is: 1,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.40 : 1,917.42 = 759.89 : x
  2. Step 2: Convert to fraction form
    1,389.40/1,917.42 = 759.89/x
  3. Step 3: Cross multiply
    1,389.40x = 1,917.42 × 759.89
  4. Step 4: Simplify right side
    1,389.40x = 1,457,018.24
  5. Step 5: Solve for x
    x = 1,457,018.24/1,389.40
  6. Step 6: Final answer
    x = 1,048.67

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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.