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Finding the Fourth Proportional to 1,389.81, 1,918.07 and 830.27

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Solution

The fourth proportional to 1,389.81, 1,918.07 and 830.27 is: 1,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.81 : 1,918.07 = 830.27 : x
  2. Step 2: Convert to fraction form
    1,389.81/1,918.07 = 830.27/x
  3. Step 3: Cross multiply
    1,389.81x = 1,918.07 × 830.27
  4. Step 4: Simplify right side
    1,389.81x = 1,592,519.74
  5. Step 5: Solve for x
    x = 1,592,519.74/1,389.81
  6. Step 6: Final answer
    x = 1,145.85

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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.