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Finding the Fourth Proportional to 846.56, 1,167.94 and 598.30

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Solution

The fourth proportional to 846.56, 1,167.94 and 598.30 is: 825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.56 : 1,167.94 = 598.30 : x
  2. Step 2: Convert to fraction form
    846.56/1,167.94 = 598.30/x
  3. Step 3: Cross multiply
    846.56x = 1,167.94 × 598.30
  4. Step 4: Simplify right side
    846.56x = 698,778.50
  5. Step 5: Solve for x
    x = 698,778.50/846.56
  6. Step 6: Final answer
    x = 825.43

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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.