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Finding the Fourth Proportional to 1,055.73, 1,457.48 and 636.18

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Solution

The fourth proportional to 1,055.73, 1,457.48 and 636.18 is: 878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.73 : 1,457.48 = 636.18 : x
  2. Step 2: Convert to fraction form
    1,055.73/1,457.48 = 636.18/x
  3. Step 3: Cross multiply
    1,055.73x = 1,457.48 × 636.18
  4. Step 4: Simplify right side
    1,055.73x = 927,215.75
  5. Step 5: Solve for x
    x = 927,215.75/1,055.73
  6. Step 6: Final answer
    x = 878.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.