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Finding the Fourth Proportional to 1,389.71, 2,084.59 and 465.09

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Solution

The fourth proportional to 1,389.71, 2,084.59 and 465.09 is: 697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.71 : 2,084.59 = 465.09 : x
  2. Step 2: Convert to fraction form
    1,389.71/2,084.59 = 465.09/x
  3. Step 3: Cross multiply
    1,389.71x = 2,084.59 × 465.09
  4. Step 4: Simplify right side
    1,389.71x = 969,523.84
  5. Step 5: Solve for x
    x = 969,523.84/1,389.71
  6. Step 6: Final answer
    x = 697.65

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Why These Related Problems?

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