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Finding the Fourth Proportional to 634.14, 953.24 and 589.05

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Solution

The fourth proportional to 634.14, 953.24 and 589.05 is: 885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.14 : 953.24 = 589.05 : x
  2. Step 2: Convert to fraction form
    634.14/953.24 = 589.05/x
  3. Step 3: Cross multiply
    634.14x = 953.24 × 589.05
  4. Step 4: Simplify right side
    634.14x = 561,503.08
  5. Step 5: Solve for x
    x = 561,503.08/634.14
  6. Step 6: Final answer
    x = 885.46

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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.