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Finding the Fourth Proportional to 1,187.35, 1,638.56 and 656.26

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Solution

The fourth proportional to 1,187.35, 1,638.56 and 656.26 is: 905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.35 : 1,638.56 = 656.26 : x
  2. Step 2: Convert to fraction form
    1,187.35/1,638.56 = 656.26/x
  3. Step 3: Cross multiply
    1,187.35x = 1,638.56 × 656.26
  4. Step 4: Simplify right side
    1,187.35x = 1,075,321.39
  5. Step 5: Solve for x
    x = 1,075,321.39/1,187.35
  6. Step 6: Final answer
    x = 905.65

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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.