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Finding the Fourth Proportional to 955.56, 1,430.92 and 809.76

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Solution

The fourth proportional to 955.56, 1,430.92 and 809.76 is: 1,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.56 : 1,430.92 = 809.76 : x
  2. Step 2: Convert to fraction form
    955.56/1,430.92 = 809.76/x
  3. Step 3: Cross multiply
    955.56x = 1,430.92 × 809.76
  4. Step 4: Simplify right side
    955.56x = 1,158,701.78
  5. Step 5: Solve for x
    x = 1,158,701.78/955.56
  6. Step 6: Final answer
    x = 1,212.59

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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.