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Finding the Fourth Proportional to 1,457.47, 2,011.32 and 794.33

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Solution

The fourth proportional to 1,457.47, 2,011.32 and 794.33 is: 1,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.47 : 2,011.32 = 794.33 : x
  2. Step 2: Convert to fraction form
    1,457.47/2,011.32 = 794.33/x
  3. Step 3: Cross multiply
    1,457.47x = 2,011.32 × 794.33
  4. Step 4: Simplify right side
    1,457.47x = 1,597,651.82
  5. Step 5: Solve for x
    x = 1,597,651.82/1,457.47
  6. Step 6: Final answer
    x = 1,096.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.