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Finding the Fourth Proportional to 969.52, 1,454.06 and 384.36

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Solution

The fourth proportional to 969.52, 1,454.06 and 384.36 is: 576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.52 : 1,454.06 = 384.36 : x
  2. Step 2: Convert to fraction form
    969.52/1,454.06 = 384.36/x
  3. Step 3: Cross multiply
    969.52x = 1,454.06 × 384.36
  4. Step 4: Simplify right side
    969.52x = 558,882.50
  5. Step 5: Solve for x
    x = 558,882.50/969.52
  6. Step 6: Final answer
    x = 576.45

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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.