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Finding the Fourth Proportional to 596.82, 895.23 and 580.62

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Solution

The fourth proportional to 596.82, 895.23 and 580.62 is: 870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.82 : 895.23 = 580.62 : x
  2. Step 2: Convert to fraction form
    596.82/895.23 = 580.62/x
  3. Step 3: Cross multiply
    596.82x = 895.23 × 580.62
  4. Step 4: Simplify right side
    596.82x = 519,788.44
  5. Step 5: Solve for x
    x = 519,788.44/596.82
  6. Step 6: Final answer
    x = 870.93

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Double scale
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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.