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Finding the Fourth Proportional to 934.56, 1,401.80 and 628.60

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Solution

The fourth proportional to 934.56, 1,401.80 and 628.60 is: 942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.56 : 1,401.80 = 628.60 : x
  2. Step 2: Convert to fraction form
    934.56/1,401.80 = 628.60/x
  3. Step 3: Cross multiply
    934.56x = 1,401.80 × 628.60
  4. Step 4: Simplify right side
    934.56x = 881,171.48
  5. Step 5: Solve for x
    x = 881,171.48/934.56
  6. Step 6: Final answer
    x = 942.87

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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.