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Finding the Fourth Proportional to 1,389.02, 2,084.71 and 609.65

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Solution

The fourth proportional to 1,389.02, 2,084.71 and 609.65 is: 914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.02 : 2,084.71 = 609.65 : x
  2. Step 2: Convert to fraction form
    1,389.02/2,084.71 = 609.65/x
  3. Step 3: Cross multiply
    1,389.02x = 2,084.71 × 609.65
  4. Step 4: Simplify right side
    1,389.02x = 1,270,943.45
  5. Step 5: Solve for x
    x = 1,270,943.45/1,389.02
  6. Step 6: Final answer
    x = 914.99

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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.