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Finding the Fourth Proportional to 1,389.75, 2,084.19 and 465.09

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Solution

The fourth proportional to 1,389.75, 2,084.19 and 465.09 is: 697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.75 : 2,084.19 = 465.09 : x
  2. Step 2: Convert to fraction form
    1,389.75/2,084.19 = 465.09/x
  3. Step 3: Cross multiply
    1,389.75x = 2,084.19 × 465.09
  4. Step 4: Simplify right side
    1,389.75x = 969,335.93
  5. Step 5: Solve for x
    x = 969,335.93/1,389.75
  6. Step 6: Final answer
    x = 697.49

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1.5x scale

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.