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Finding the Fourth Proportional to 945.27, 1,416.69 and 456.84

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Solution

The fourth proportional to 945.27, 1,416.69 and 456.84 is: 684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.27 : 1,416.69 = 456.84 : x
  2. Step 2: Convert to fraction form
    945.27/1,416.69 = 456.84/x
  3. Step 3: Cross multiply
    945.27x = 1,416.69 × 456.84
  4. Step 4: Simplify right side
    945.27x = 647,200.66
  5. Step 5: Solve for x
    x = 647,200.66/945.27
  6. Step 6: Final answer
    x = 684.67

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Why These Related Problems?

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