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Finding the Fourth Proportional to 1,062.86, 1,466.75 and 620.85

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Solution

The fourth proportional to 1,062.86, 1,466.75 and 620.85 is: 856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.86 : 1,466.75 = 620.85 : x
  2. Step 2: Convert to fraction form
    1,062.86/1,466.75 = 620.85/x
  3. Step 3: Cross multiply
    1,062.86x = 1,466.75 × 620.85
  4. Step 4: Simplify right side
    1,062.86x = 910,631.74
  5. Step 5: Solve for x
    x = 910,631.74/1,062.86
  6. Step 6: Final answer
    x = 856.77

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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.