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Finding the Fourth Proportional to 1,457.16, 2,010.90 and 794.04

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Solution

The fourth proportional to 1,457.16, 2,010.90 and 794.04 is: 1,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.16 : 2,010.90 = 794.04 : x
  2. Step 2: Convert to fraction form
    1,457.16/2,010.90 = 794.04/x
  3. Step 3: Cross multiply
    1,457.16x = 2,010.90 × 794.04
  4. Step 4: Simplify right side
    1,457.16x = 1,596,735.04
  5. Step 5: Solve for x
    x = 1,596,735.04/1,457.16
  6. Step 6: Final answer
    x = 1,095.79

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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.