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Finding the Fourth Proportional to 953.73, 1,431.50 and 589.23

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Solution

The fourth proportional to 953.73, 1,431.50 and 589.23 is: 884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.73 : 1,431.50 = 589.23 : x
  2. Step 2: Convert to fraction form
    953.73/1,431.50 = 589.23/x
  3. Step 3: Cross multiply
    953.73x = 1,431.50 × 589.23
  4. Step 4: Simplify right side
    953.73x = 843,479.80
  5. Step 5: Solve for x
    x = 843,479.80/953.73
  6. Step 6: Final answer
    x = 884.40

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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.