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Finding the Fourth Proportional to 969.66, 1,454.12 and 475.76

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Solution

The fourth proportional to 969.66, 1,454.12 and 475.76 is: 713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.66 : 1,454.12 = 475.76 : x
  2. Step 2: Convert to fraction form
    969.66/1,454.12 = 475.76/x
  3. Step 3: Cross multiply
    969.66x = 1,454.12 × 475.76
  4. Step 4: Simplify right side
    969.66x = 691,812.13
  5. Step 5: Solve for x
    x = 691,812.13/969.66
  6. Step 6: Final answer
    x = 713.46

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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.