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Finding the Fourth Proportional to 1,063.23, 1,466.97 and 620.88

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Solution

The fourth proportional to 1,063.23, 1,466.97 and 620.88 is: 856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.23 : 1,466.97 = 620.88 : x
  2. Step 2: Convert to fraction form
    1,063.23/1,466.97 = 620.88/x
  3. Step 3: Cross multiply
    1,063.23x = 1,466.97 × 620.88
  4. Step 4: Simplify right side
    1,063.23x = 910,805.00
  5. Step 5: Solve for x
    x = 910,805.00/1,063.23
  6. Step 6: Final answer
    x = 856.64

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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.