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Finding the Fourth Proportional to 1,463.89, 2,192.28 and 804.76

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Solution

The fourth proportional to 1,463.89, 2,192.28 and 804.76 is: 1,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.89 : 2,192.28 = 804.76 : x
  2. Step 2: Convert to fraction form
    1,463.89/2,192.28 = 804.76/x
  3. Step 3: Cross multiply
    1,463.89x = 2,192.28 × 804.76
  4. Step 4: Simplify right side
    1,463.89x = 1,764,259.25
  5. Step 5: Solve for x
    x = 1,764,259.25/1,463.89
  6. Step 6: Final answer
    x = 1,205.19

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1.5x scale

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.