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Finding the Fourth Proportional to 1,343.06, 2,014.34 and 562.85

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Solution

The fourth proportional to 1,343.06, 2,014.34 and 562.85 is: 844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.06 : 2,014.34 = 562.85 : x
  2. Step 2: Convert to fraction form
    1,343.06/2,014.34 = 562.85/x
  3. Step 3: Cross multiply
    1,343.06x = 2,014.34 × 562.85
  4. Step 4: Simplify right side
    1,343.06x = 1,133,771.27
  5. Step 5: Solve for x
    x = 1,133,771.27/1,343.06
  6. Step 6: Final answer
    x = 844.17

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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.