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Finding the Fourth Proportional to 858.52, 1,288.92 and 821.32

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Solution

The fourth proportional to 858.52, 1,288.92 and 821.32 is: 1,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.52 : 1,288.92 = 821.32 : x
  2. Step 2: Convert to fraction form
    858.52/1,288.92 = 821.32/x
  3. Step 3: Cross multiply
    858.52x = 1,288.92 × 821.32
  4. Step 4: Simplify right side
    858.52x = 1,058,615.77
  5. Step 5: Solve for x
    x = 1,058,615.77/858.52
  6. Step 6: Final answer
    x = 1,233.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.