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Finding the Fourth Proportional to 955.37, 1,431.50 and 589.12

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Solution

The fourth proportional to 955.37, 1,431.50 and 589.12 is: 882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.37 : 1,431.50 = 589.12 : x
  2. Step 2: Convert to fraction form
    955.37/1,431.50 = 589.12/x
  3. Step 3: Cross multiply
    955.37x = 1,431.50 × 589.12
  4. Step 4: Simplify right side
    955.37x = 843,318.76
  5. Step 5: Solve for x
    x = 843,318.76/955.37
  6. Step 6: Final answer
    x = 882.71

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Why These Related Problems?

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