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Finding the Fourth Proportional to 1,389.07, 2,084.10 and 465.04

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Solution

The fourth proportional to 1,389.07, 2,084.10 and 465.04 is: 697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.07 : 2,084.10 = 465.04 : x
  2. Step 2: Convert to fraction form
    1,389.07/2,084.10 = 465.04/x
  3. Step 3: Cross multiply
    1,389.07x = 2,084.10 × 465.04
  4. Step 4: Simplify right side
    1,389.07x = 969,189.86
  5. Step 5: Solve for x
    x = 969,189.86/1,389.07
  6. Step 6: Final answer
    x = 697.73

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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.