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Finding the Fourth Proportional to 1,410.70, 1,946.52 and 813.06

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Solution

The fourth proportional to 1,410.70, 1,946.52 and 813.06 is: 1,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.70 : 1,946.52 = 813.06 : x
  2. Step 2: Convert to fraction form
    1,410.70/1,946.52 = 813.06/x
  3. Step 3: Cross multiply
    1,410.70x = 1,946.52 × 813.06
  4. Step 4: Simplify right side
    1,410.70x = 1,582,632.68
  5. Step 5: Solve for x
    x = 1,582,632.68/1,410.70
  6. Step 6: Final answer
    x = 1,121.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.