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Finding the Fourth Proportional to 953.96, 1,431.58 and 694.34

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Solution

The fourth proportional to 953.96, 1,431.58 and 694.34 is: 1,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.96 : 1,431.58 = 694.34 : x
  2. Step 2: Convert to fraction form
    953.96/1,431.58 = 694.34/x
  3. Step 3: Cross multiply
    953.96x = 1,431.58 × 694.34
  4. Step 4: Simplify right side
    953.96x = 994,003.26
  5. Step 5: Solve for x
    x = 994,003.26/953.96
  6. Step 6: Final answer
    x = 1,041.98

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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.