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Finding the Fourth Proportional to 1,457.64, 2,183.76 and 727.20

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Solution

The fourth proportional to 1,457.64, 2,183.76 and 727.20 is: 1,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.64 : 2,183.76 = 727.20 : x
  2. Step 2: Convert to fraction form
    1,457.64/2,183.76 = 727.20/x
  3. Step 3: Cross multiply
    1,457.64x = 2,183.76 × 727.20
  4. Step 4: Simplify right side
    1,457.64x = 1,588,030.27
  5. Step 5: Solve for x
    x = 1,588,030.27/1,457.64
  6. Step 6: Final answer
    x = 1,089.45

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Why These Related Problems?

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