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Finding the Fourth Proportional to 1,457.05, 2,010.72 and 793.93

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Solution

The fourth proportional to 1,457.05, 2,010.72 and 793.93 is: 1,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.05 : 2,010.72 = 793.93 : x
  2. Step 2: Convert to fraction form
    1,457.05/2,010.72 = 793.93/x
  3. Step 3: Cross multiply
    1,457.05x = 2,010.72 × 793.93
  4. Step 4: Simplify right side
    1,457.05x = 1,596,364.41
  5. Step 5: Solve for x
    x = 1,596,364.41/1,457.05
  6. Step 6: Final answer
    x = 1,095.62

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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.