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Finding the Fourth Proportional to 596.55, 895.74 and 585.62

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Solution

The fourth proportional to 596.55, 895.74 and 585.62 is: 879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.55 : 895.74 = 585.62 : x
  2. Step 2: Convert to fraction form
    596.55/895.74 = 585.62/x
  3. Step 3: Cross multiply
    596.55x = 895.74 × 585.62
  4. Step 4: Simplify right side
    596.55x = 524,563.26
  5. Step 5: Solve for x
    x = 524,563.26/596.55
  6. Step 6: Final answer
    x = 879.33

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