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Finding the Fourth Proportional to 934.19, 1,289.00 and 635.67

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Solution

The fourth proportional to 934.19, 1,289.00 and 635.67 is: 877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.19 : 1,289.00 = 635.67 : x
  2. Step 2: Convert to fraction form
    934.19/1,289.00 = 635.67/x
  3. Step 3: Cross multiply
    934.19x = 1,289.00 × 635.67
  4. Step 4: Simplify right side
    934.19x = 819,375.45
  5. Step 5: Solve for x
    x = 819,375.45/934.19
  6. Step 6: Final answer
    x = 877.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.