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Finding the Fourth Proportional to 917.63, 1,383.65 and 841.09

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Solution

The fourth proportional to 917.63, 1,383.65 and 841.09 is: 1,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.63 : 1,383.65 = 841.09 : x
  2. Step 2: Convert to fraction form
    917.63/1,383.65 = 841.09/x
  3. Step 3: Cross multiply
    917.63x = 1,383.65 × 841.09
  4. Step 4: Simplify right side
    917.63x = 1,163,774.18
  5. Step 5: Solve for x
    x = 1,163,774.18/917.63
  6. Step 6: Final answer
    x = 1,268.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.