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Finding the Fourth Proportional to 1,316.59, 1,816.94 and 844.25

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Solution

The fourth proportional to 1,316.59, 1,816.94 and 844.25 is: 1,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.59 : 1,816.94 = 844.25 : x
  2. Step 2: Convert to fraction form
    1,316.59/1,816.94 = 844.25/x
  3. Step 3: Cross multiply
    1,316.59x = 1,816.94 × 844.25
  4. Step 4: Simplify right side
    1,316.59x = 1,533,944.62
  5. Step 5: Solve for x
    x = 1,533,944.62/1,316.59
  6. Step 6: Final answer
    x = 1,165.09

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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.