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Finding the Fourth Proportional to 1,389.41, 2,084.40 and 511.86

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Solution

The fourth proportional to 1,389.41, 2,084.40 and 511.86 is: 767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.41 : 2,084.40 = 511.86 : x
  2. Step 2: Convert to fraction form
    1,389.41/2,084.40 = 511.86/x
  3. Step 3: Cross multiply
    1,389.41x = 2,084.40 × 511.86
  4. Step 4: Simplify right side
    1,389.41x = 1,066,920.98
  5. Step 5: Solve for x
    x = 1,066,920.98/1,389.41
  6. Step 6: Final answer
    x = 767.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.