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Finding the Fourth Proportional to 596.12, 894.36 and 585.32

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Solution

The fourth proportional to 596.12, 894.36 and 585.32 is: 878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.12 : 894.36 = 585.32 : x
  2. Step 2: Convert to fraction form
    596.12/894.36 = 585.32/x
  3. Step 3: Cross multiply
    596.12x = 894.36 × 585.32
  4. Step 4: Simplify right side
    596.12x = 523,486.80
  5. Step 5: Solve for x
    x = 523,486.80/596.12
  6. Step 6: Final answer
    x = 878.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.