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Finding the Fourth Proportional to 1,082.89, 1,624.71 and 352.46

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Solution

The fourth proportional to 1,082.89, 1,624.71 and 352.46 is: 528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.89 : 1,624.71 = 352.46 : x
  2. Step 2: Convert to fraction form
    1,082.89/1,624.71 = 352.46/x
  3. Step 3: Cross multiply
    1,082.89x = 1,624.71 × 352.46
  4. Step 4: Simplify right side
    1,082.89x = 572,650.67
  5. Step 5: Solve for x
    x = 572,650.67/1,082.89
  6. Step 6: Final answer
    x = 528.82

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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.