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Finding the Fourth Proportional to 1,297.45, 1,946.13 and 420.00

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Solution

The fourth proportional to 1,297.45, 1,946.13 and 420.00 is: 629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.45 : 1,946.13 = 420.00 : x
  2. Step 2: Convert to fraction form
    1,297.45/1,946.13 = 420.00/x
  3. Step 3: Cross multiply
    1,297.45x = 1,946.13 × 420.00
  4. Step 4: Simplify right side
    1,297.45x = 817,380.22
  5. Step 5: Solve for x
    x = 817,380.22/1,297.45
  6. Step 6: Final answer
    x = 629.99

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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.