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Finding the Fourth Proportional to 1,062.56, 1,466.35 and 620.48

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Solution

The fourth proportional to 1,062.56, 1,466.35 and 620.48 is: 856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.56 : 1,466.35 = 620.48 : x
  2. Step 2: Convert to fraction form
    1,062.56/1,466.35 = 620.48/x
  3. Step 3: Cross multiply
    1,062.56x = 1,466.35 × 620.48
  4. Step 4: Simplify right side
    1,062.56x = 909,842.96
  5. Step 5: Solve for x
    x = 909,842.96/1,062.56
  6. Step 6: Final answer
    x = 856.28

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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.