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Finding the Fourth Proportional to 1,424, 2,135.75 and 384.07

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Solution

The fourth proportional to 1,424, 2,135.75 and 384.07 is: 576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424 : 2,135.75 = 384.07 : x
  2. Step 2: Convert to fraction form
    1,424/2,135.75 = 384.07/x
  3. Step 3: Cross multiply
    1,424x = 2,135.75 × 384.07
  4. Step 4: Simplify right side
    1,424x = 820,277.50
  5. Step 5: Solve for x
    x = 820,277.50/1,424
  6. Step 6: Final answer
    x = 576.04

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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.