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Finding the Fourth Proportional to 809.80, 1,214.70 and 742.30

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Solution

The fourth proportional to 809.80, 1,214.70 and 742.30 is: 1,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.80 : 1,214.70 = 742.30 : x
  2. Step 2: Convert to fraction form
    809.80/1,214.70 = 742.30/x
  3. Step 3: Cross multiply
    809.80x = 1,214.70 × 742.30
  4. Step 4: Simplify right side
    809.80x = 901,671.81
  5. Step 5: Solve for x
    x = 901,671.81/809.80
  6. Step 6: Final answer
    x = 1,113.45

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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.