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Finding the Fourth Proportional to 964.73, 1,330.44 and 716.67

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Solution

The fourth proportional to 964.73, 1,330.44 and 716.67 is: 988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.73 : 1,330.44 = 716.67 : x
  2. Step 2: Convert to fraction form
    964.73/1,330.44 = 716.67/x
  3. Step 3: Cross multiply
    964.73x = 1,330.44 × 716.67
  4. Step 4: Simplify right side
    964.73x = 953,486.43
  5. Step 5: Solve for x
    x = 953,486.43/964.73
  6. Step 6: Final answer
    x = 988.35

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Why These Related Problems?

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