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Finding the Fourth Proportional to 1,491.70, 2,236.32 and 711.28

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Solution

The fourth proportional to 1,491.70, 2,236.32 and 711.28 is: 1,066.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.70 : 2,236.32 = 711.28 : x
  2. Step 2: Convert to fraction form
    1,491.70/2,236.32 = 711.28/x
  3. Step 3: Cross multiply
    1,491.70x = 2,236.32 × 711.28
  4. Step 4: Simplify right side
    1,491.70x = 1,590,649.69
  5. Step 5: Solve for x
    x = 1,590,649.69/1,491.70
  6. Step 6: Final answer
    x = 1,066.33

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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.