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Finding the Fourth Proportional to 955.78, 1,431.58 and 589.44

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Solution

The fourth proportional to 955.78, 1,431.58 and 589.44 is: 882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.78 : 1,431.58 = 589.44 : x
  2. Step 2: Convert to fraction form
    955.78/1,431.58 = 589.44/x
  3. Step 3: Cross multiply
    955.78x = 1,431.58 × 589.44
  4. Step 4: Simplify right side
    955.78x = 843,830.52
  5. Step 5: Solve for x
    x = 843,830.52/955.78
  6. Step 6: Final answer
    x = 882.87

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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.