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Finding the Fourth Proportional to 1,081.92, 1,624.32 and 569.28

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Solution

The fourth proportional to 1,081.92, 1,624.32 and 569.28 is: 854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.92 : 1,624.32 = 569.28 : x
  2. Step 2: Convert to fraction form
    1,081.92/1,624.32 = 569.28/x
  3. Step 3: Cross multiply
    1,081.92x = 1,624.32 × 569.28
  4. Step 4: Simplify right side
    1,081.92x = 924,692.89
  5. Step 5: Solve for x
    x = 924,692.89/1,081.92
  6. Step 6: Final answer
    x = 854.68

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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.