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Finding the Fourth Proportional to 1,390.62, 2,086.32 and 466.40

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Solution

The fourth proportional to 1,390.62, 2,086.32 and 466.40 is: 699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.62 : 2,086.32 = 466.40 : x
  2. Step 2: Convert to fraction form
    1,390.62/2,086.32 = 466.40/x
  3. Step 3: Cross multiply
    1,390.62x = 2,086.32 × 466.40
  4. Step 4: Simplify right side
    1,390.62x = 973,059.65
  5. Step 5: Solve for x
    x = 973,059.65/1,390.62
  6. Step 6: Final answer
    x = 699.73

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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.