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Finding the Fourth Proportional to 1,389.72, 2,084.67 and 465.24

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Solution

The fourth proportional to 1,389.72, 2,084.67 and 465.24 is: 697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.72 : 2,084.67 = 465.24 : x
  2. Step 2: Convert to fraction form
    1,389.72/2,084.67 = 465.24/x
  3. Step 3: Cross multiply
    1,389.72x = 2,084.67 × 465.24
  4. Step 4: Simplify right side
    1,389.72x = 969,871.87
  5. Step 5: Solve for x
    x = 969,871.87/1,389.72
  6. Step 6: Final answer
    x = 697.89

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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.