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Finding the Fourth Proportional to 1,071.56, 1,478.38 and 623.22

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Solution

The fourth proportional to 1,071.56, 1,478.38 and 623.22 is: 859.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.56 : 1,478.38 = 623.22 : x
  2. Step 2: Convert to fraction form
    1,071.56/1,478.38 = 623.22/x
  3. Step 3: Cross multiply
    1,071.56x = 1,478.38 × 623.22
  4. Step 4: Simplify right side
    1,071.56x = 921,355.98
  5. Step 5: Solve for x
    x = 921,355.98/1,071.56
  6. Step 6: Final answer
    x = 859.83

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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.