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Finding the Fourth Proportional to 1,457.22, 2,010.97 and 794.08

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Solution

The fourth proportional to 1,457.22, 2,010.97 and 794.08 is: 1,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.22 : 2,010.97 = 794.08 : x
  2. Step 2: Convert to fraction form
    1,457.22/2,010.97 = 794.08/x
  3. Step 3: Cross multiply
    1,457.22x = 2,010.97 × 794.08
  4. Step 4: Simplify right side
    1,457.22x = 1,596,859.53
  5. Step 5: Solve for x
    x = 1,596,859.53/1,457.22
  6. Step 6: Final answer
    x = 1,095.82

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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.