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Finding the Fourth Proportional to 1,012.97, 1,518.97 and 464.99

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Solution

The fourth proportional to 1,012.97, 1,518.97 and 464.99 is: 697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.97 : 1,518.97 = 464.99 : x
  2. Step 2: Convert to fraction form
    1,012.97/1,518.97 = 464.99/x
  3. Step 3: Cross multiply
    1,012.97x = 1,518.97 × 464.99
  4. Step 4: Simplify right side
    1,012.97x = 706,297.10
  5. Step 5: Solve for x
    x = 706,297.10/1,012.97
  6. Step 6: Final answer
    x = 697.26

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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.