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Finding the Fourth Proportional to 1,353.48, 1,866.56 and 855.25

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Solution

The fourth proportional to 1,353.48, 1,866.56 and 855.25 is: 1,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.48 : 1,866.56 = 855.25 : x
  2. Step 2: Convert to fraction form
    1,353.48/1,866.56 = 855.25/x
  3. Step 3: Cross multiply
    1,353.48x = 1,866.56 × 855.25
  4. Step 4: Simplify right side
    1,353.48x = 1,596,361.83
  5. Step 5: Solve for x
    x = 1,596,361.83/1,353.48
  6. Step 6: Final answer
    x = 1,179.45

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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.