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Finding the Fourth Proportional to 1,104.75, 1,524.56 and 639.27

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Solution

The fourth proportional to 1,104.75, 1,524.56 and 639.27 is: 882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.75 : 1,524.56 = 639.27 : x
  2. Step 2: Convert to fraction form
    1,104.75/1,524.56 = 639.27/x
  3. Step 3: Cross multiply
    1,104.75x = 1,524.56 × 639.27
  4. Step 4: Simplify right side
    1,104.75x = 974,602.27
  5. Step 5: Solve for x
    x = 974,602.27/1,104.75
  6. Step 6: Final answer
    x = 882.19

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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.