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Finding the Fourth Proportional to 645.57, 969.03 and 569.03

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Solution

The fourth proportional to 645.57, 969.03 and 569.03 is: 854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.57 : 969.03 = 569.03 : x
  2. Step 2: Convert to fraction form
    645.57/969.03 = 569.03/x
  3. Step 3: Cross multiply
    645.57x = 969.03 × 569.03
  4. Step 4: Simplify right side
    645.57x = 551,402.30
  5. Step 5: Solve for x
    x = 551,402.30/645.57
  6. Step 6: Final answer
    x = 854.13

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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.