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Finding the Fourth Proportional to 1,389.84, 2,084.66 and 465.10

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Solution

The fourth proportional to 1,389.84, 2,084.66 and 465.10 is: 697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.84 : 2,084.66 = 465.10 : x
  2. Step 2: Convert to fraction form
    1,389.84/2,084.66 = 465.10/x
  3. Step 3: Cross multiply
    1,389.84x = 2,084.66 × 465.10
  4. Step 4: Simplify right side
    1,389.84x = 969,575.37
  5. Step 5: Solve for x
    x = 969,575.37/1,389.84
  6. Step 6: Final answer
    x = 697.62

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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.