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Finding the Fourth Proportional to 694.31, 1,041.46 and 556.67

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Solution

The fourth proportional to 694.31, 1,041.46 and 556.67 is: 835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.31 : 1,041.46 = 556.67 : x
  2. Step 2: Convert to fraction form
    694.31/1,041.46 = 556.67/x
  3. Step 3: Cross multiply
    694.31x = 1,041.46 × 556.67
  4. Step 4: Simplify right side
    694.31x = 579,750.75
  5. Step 5: Solve for x
    x = 579,750.75/694.31
  6. Step 6: Final answer
    x = 835.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.