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Finding the Fourth Proportional to 1,032.34, 1,546.69 and 857.99

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Solution

The fourth proportional to 1,032.34, 1,546.69 and 857.99 is: 1,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.34 : 1,546.69 = 857.99 : x
  2. Step 2: Convert to fraction form
    1,032.34/1,546.69 = 857.99/x
  3. Step 3: Cross multiply
    1,032.34x = 1,546.69 × 857.99
  4. Step 4: Simplify right side
    1,032.34x = 1,327,044.55
  5. Step 5: Solve for x
    x = 1,327,044.55/1,032.34
  6. Step 6: Final answer
    x = 1,285.47

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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.