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Finding the Fourth Proportional to 1,082.54, 1,624.52 and 595.94

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Solution

The fourth proportional to 1,082.54, 1,624.52 and 595.94 is: 894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.54 : 1,624.52 = 595.94 : x
  2. Step 2: Convert to fraction form
    1,082.54/1,624.52 = 595.94/x
  3. Step 3: Cross multiply
    1,082.54x = 1,624.52 × 595.94
  4. Step 4: Simplify right side
    1,082.54x = 968,109.82
  5. Step 5: Solve for x
    x = 968,109.82/1,082.54
  6. Step 6: Final answer
    x = 894.29

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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.