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Finding the Fourth Proportional to 969.54, 1,452.29 and 474.45

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Solution

The fourth proportional to 969.54, 1,452.29 and 474.45 is: 710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.54 : 1,452.29 = 474.45 : x
  2. Step 2: Convert to fraction form
    969.54/1,452.29 = 474.45/x
  3. Step 3: Cross multiply
    969.54x = 1,452.29 × 474.45
  4. Step 4: Simplify right side
    969.54x = 689,038.99
  5. Step 5: Solve for x
    x = 689,038.99/969.54
  6. Step 6: Final answer
    x = 710.69

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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.