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Finding the Fourth Proportional to 1,014.97, 1,520.41 and 466.40

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Solution

The fourth proportional to 1,014.97, 1,520.41 and 466.40 is: 698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.97 : 1,520.41 = 466.40 : x
  2. Step 2: Convert to fraction form
    1,014.97/1,520.41 = 466.40/x
  3. Step 3: Cross multiply
    1,014.97x = 1,520.41 × 466.40
  4. Step 4: Simplify right side
    1,014.97x = 709,119.22
  5. Step 5: Solve for x
    x = 709,119.22/1,014.97
  6. Step 6: Final answer
    x = 698.66

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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.