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Finding the Fourth Proportional to 896.96, 1,346.68 and 589.52

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Solution

The fourth proportional to 896.96, 1,346.68 and 589.52 is: 885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.96 : 1,346.68 = 589.52 : x
  2. Step 2: Convert to fraction form
    896.96/1,346.68 = 589.52/x
  3. Step 3: Cross multiply
    896.96x = 1,346.68 × 589.52
  4. Step 4: Simplify right side
    896.96x = 793,894.79
  5. Step 5: Solve for x
    x = 793,894.79/896.96
  6. Step 6: Final answer
    x = 885.09

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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.