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Finding the Fourth Proportional to 613.56, 846.26 and 585.96

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Solution

The fourth proportional to 613.56, 846.26 and 585.96 is: 808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.56 : 846.26 = 585.96 : x
  2. Step 2: Convert to fraction form
    613.56/846.26 = 585.96/x
  3. Step 3: Cross multiply
    613.56x = 846.26 × 585.96
  4. Step 4: Simplify right side
    613.56x = 495,874.51
  5. Step 5: Solve for x
    x = 495,874.51/613.56
  6. Step 6: Final answer
    x = 808.19

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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.