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Finding the Fourth Proportional to 969.07, 1,454.18 and 384.13

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Solution

The fourth proportional to 969.07, 1,454.18 and 384.13 is: 576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.07 : 1,454.18 = 384.13 : x
  2. Step 2: Convert to fraction form
    969.07/1,454.18 = 384.13/x
  3. Step 3: Cross multiply
    969.07x = 1,454.18 × 384.13
  4. Step 4: Simplify right side
    969.07x = 558,594.16
  5. Step 5: Solve for x
    x = 558,594.16/969.07
  6. Step 6: Final answer
    x = 576.42

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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.