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Finding the Fourth Proportional to 1,316.60, 1,816.96 and 727.10

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Solution

The fourth proportional to 1,316.60, 1,816.96 and 727.10 is: 1,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.60 : 1,816.96 = 727.10 : x
  2. Step 2: Convert to fraction form
    1,316.60/1,816.96 = 727.10/x
  3. Step 3: Cross multiply
    1,316.60x = 1,816.96 × 727.10
  4. Step 4: Simplify right side
    1,316.60x = 1,321,111.62
  5. Step 5: Solve for x
    x = 1,321,111.62/1,316.60
  6. Step 6: Final answer
    x = 1,003.43

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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.