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Finding the Fourth Proportional to 1,389.58, 2,084.38 and 415.70

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Solution

The fourth proportional to 1,389.58, 2,084.38 and 415.70 is: 623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.58 : 2,084.38 = 415.70 : x
  2. Step 2: Convert to fraction form
    1,389.58/2,084.38 = 415.70/x
  3. Step 3: Cross multiply
    1,389.58x = 2,084.38 × 415.70
  4. Step 4: Simplify right side
    1,389.58x = 866,476.77
  5. Step 5: Solve for x
    x = 866,476.77/1,389.58
  6. Step 6: Final answer
    x = 623.55

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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.