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Finding the Fourth Proportional to 1,316.01, 1,817.46 and 1,001.28

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Solution

The fourth proportional to 1,316.01, 1,817.46 and 1,001.28 is: 1,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.01 : 1,817.46 = 1,001.28 : x
  2. Step 2: Convert to fraction form
    1,316.01/1,817.46 = 1,001.28/x
  3. Step 3: Cross multiply
    1,316.01x = 1,817.46 × 1,001.28
  4. Step 4: Simplify right side
    1,316.01x = 1,819,786.35
  5. Step 5: Solve for x
    x = 1,819,786.35/1,316.01
  6. Step 6: Final answer
    x = 1,382.81

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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.