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Finding the Fourth Proportional to 934.02, 1,289.32 and 580.03

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Solution

The fourth proportional to 934.02, 1,289.32 and 580.03 is: 800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.02 : 1,289.32 = 580.03 : x
  2. Step 2: Convert to fraction form
    934.02/1,289.32 = 580.03/x
  3. Step 3: Cross multiply
    934.02x = 1,289.32 × 580.03
  4. Step 4: Simplify right side
    934.02x = 747,839.61
  5. Step 5: Solve for x
    x = 747,839.61/934.02
  6. Step 6: Final answer
    x = 800.67

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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.