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Finding the Fourth Proportional to 969.60, 1,453.66 and 456

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Solution

The fourth proportional to 969.60, 1,453.66 and 456 is: 683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.60 : 1,453.66 = 456 : x
  2. Step 2: Convert to fraction form
    969.60/1,453.66 = 456/x
  3. Step 3: Cross multiply
    969.60x = 1,453.66 × 456
  4. Step 4: Simplify right side
    969.60x = 662,868.96
  5. Step 5: Solve for x
    x = 662,868.96/969.60
  6. Step 6: Final answer
    x = 683.65

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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.