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Finding the Fourth Proportional to 953.80, 1,431.60 and 589.30

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Solution

The fourth proportional to 953.80, 1,431.60 and 589.30 is: 884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.80 : 1,431.60 = 589.30 : x
  2. Step 2: Convert to fraction form
    953.80/1,431.60 = 589.30/x
  3. Step 3: Cross multiply
    953.80x = 1,431.60 × 589.30
  4. Step 4: Simplify right side
    953.80x = 843,641.88
  5. Step 5: Solve for x
    x = 843,641.88/953.80
  6. Step 6: Final answer
    x = 884.51

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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.