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Finding the Fourth Proportional to 869.04, 1,205.46 and 847.44

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Solution

The fourth proportional to 869.04, 1,205.46 and 847.44 is: 1,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.04 : 1,205.46 = 847.44 : x
  2. Step 2: Convert to fraction form
    869.04/1,205.46 = 847.44/x
  3. Step 3: Cross multiply
    869.04x = 1,205.46 × 847.44
  4. Step 4: Simplify right side
    869.04x = 1,021,555.02
  5. Step 5: Solve for x
    x = 1,021,555.02/869.04
  6. Step 6: Final answer
    x = 1,175.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.