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Finding the Fourth Proportional to 599.85, 895.30 and 585.27

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Solution

The fourth proportional to 599.85, 895.30 and 585.27 is: 873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.85 : 895.30 = 585.27 : x
  2. Step 2: Convert to fraction form
    599.85/895.30 = 585.27/x
  3. Step 3: Cross multiply
    599.85x = 895.30 × 585.27
  4. Step 4: Simplify right side
    599.85x = 523,990.77
  5. Step 5: Solve for x
    x = 523,990.77/599.85
  6. Step 6: Final answer
    x = 873.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.