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Finding the Fourth Proportional to 847.34, 1,169.42 and 474.33

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Solution

The fourth proportional to 847.34, 1,169.42 and 474.33 is: 654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.34 : 1,169.42 = 474.33 : x
  2. Step 2: Convert to fraction form
    847.34/1,169.42 = 474.33/x
  3. Step 3: Cross multiply
    847.34x = 1,169.42 × 474.33
  4. Step 4: Simplify right side
    847.34x = 554,688.62
  5. Step 5: Solve for x
    x = 554,688.62/847.34
  6. Step 6: Final answer
    x = 654.63

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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.