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Finding the Fourth Proportional to 723.32, 1,085.46 and 398.94

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Solution

The fourth proportional to 723.32, 1,085.46 and 398.94 is: 598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.32 : 1,085.46 = 398.94 : x
  2. Step 2: Convert to fraction form
    723.32/1,085.46 = 398.94/x
  3. Step 3: Cross multiply
    723.32x = 1,085.46 × 398.94
  4. Step 4: Simplify right side
    723.32x = 433,033.41
  5. Step 5: Solve for x
    x = 433,033.41/723.32
  6. Step 6: Final answer
    x = 598.67

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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.