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Finding the Fourth Proportional to 847.53, 1,169.24 and 598.46

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Solution

The fourth proportional to 847.53, 1,169.24 and 598.46 is: 825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.53 : 1,169.24 = 598.46 : x
  2. Step 2: Convert to fraction form
    847.53/1,169.24 = 598.46/x
  3. Step 3: Cross multiply
    847.53x = 1,169.24 × 598.46
  4. Step 4: Simplify right side
    847.53x = 699,734.53
  5. Step 5: Solve for x
    x = 699,734.53/847.53
  6. Step 6: Final answer
    x = 825.62

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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.