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Finding the Fourth Proportional to 952.83, 1,430.46 and 809.46

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Solution

The fourth proportional to 952.83, 1,430.46 and 809.46 is: 1,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.83 : 1,430.46 = 809.46 : x
  2. Step 2: Convert to fraction form
    952.83/1,430.46 = 809.46/x
  3. Step 3: Cross multiply
    952.83x = 1,430.46 × 809.46
  4. Step 4: Simplify right side
    952.83x = 1,157,900.15
  5. Step 5: Solve for x
    x = 1,157,900.15/952.83
  6. Step 6: Final answer
    x = 1,215.22

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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.