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Finding the Fourth Proportional to 645.52, 969.53 and 553.18

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Solution

The fourth proportional to 645.52, 969.53 and 553.18 is: 830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 969.53 = 553.18 : x
  2. Step 2: Convert to fraction form
    645.52/969.53 = 553.18/x
  3. Step 3: Cross multiply
    645.52x = 969.53 × 553.18
  4. Step 4: Simplify right side
    645.52x = 536,324.61
  5. Step 5: Solve for x
    x = 536,324.61/645.52
  6. Step 6: Final answer
    x = 830.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.