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Finding the Fourth Proportional to 955.43, 1,430.70 and 800.96

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Solution

The fourth proportional to 955.43, 1,430.70 and 800.96 is: 1,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.43 : 1,430.70 = 800.96 : x
  2. Step 2: Convert to fraction form
    955.43/1,430.70 = 800.96/x
  3. Step 3: Cross multiply
    955.43x = 1,430.70 × 800.96
  4. Step 4: Simplify right side
    955.43x = 1,145,923.31
  5. Step 5: Solve for x
    x = 1,145,923.31/955.43
  6. Step 6: Final answer
    x = 1,199.38

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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.