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Finding the Fourth Proportional to 717.48, 989.64 and 455.67

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Solution

The fourth proportional to 717.48, 989.64 and 455.67 is: 628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.48 : 989.64 = 455.67 : x
  2. Step 2: Convert to fraction form
    717.48/989.64 = 455.67/x
  3. Step 3: Cross multiply
    717.48x = 989.64 × 455.67
  4. Step 4: Simplify right side
    717.48x = 450,949.26
  5. Step 5: Solve for x
    x = 450,949.26/717.48
  6. Step 6: Final answer
    x = 628.52

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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.