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Finding the Fourth Proportional to 1,353.44, 1,866.50 and 855.21

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Solution

The fourth proportional to 1,353.44, 1,866.50 and 855.21 is: 1,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.44 : 1,866.50 = 855.21 : x
  2. Step 2: Convert to fraction form
    1,353.44/1,866.50 = 855.21/x
  3. Step 3: Cross multiply
    1,353.44x = 1,866.50 × 855.21
  4. Step 4: Simplify right side
    1,353.44x = 1,596,255.40
  5. Step 5: Solve for x
    x = 1,596,255.40/1,353.44
  6. Step 6: Final answer
    x = 1,179.40

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1.5x scale

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.