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Finding the Fourth Proportional to 1,457.96, 2,186.94 and 432.04

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Solution

The fourth proportional to 1,457.96, 2,186.94 and 432.04 is: 648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.96 : 2,186.94 = 432.04 : x
  2. Step 2: Convert to fraction form
    1,457.96/2,186.94 = 432.04/x
  3. Step 3: Cross multiply
    1,457.96x = 2,186.94 × 432.04
  4. Step 4: Simplify right side
    1,457.96x = 944,845.56
  5. Step 5: Solve for x
    x = 944,845.56/1,457.96
  6. Step 6: Final answer
    x = 648.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.