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Finding the Fourth Proportional to 1,429.92, 2,145.12 and 456

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Solution

The fourth proportional to 1,429.92, 2,145.12 and 456 is: 684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.92 : 2,145.12 = 456 : x
  2. Step 2: Convert to fraction form
    1,429.92/2,145.12 = 456/x
  3. Step 3: Cross multiply
    1,429.92x = 2,145.12 × 456
  4. Step 4: Simplify right side
    1,429.92x = 978,174.72
  5. Step 5: Solve for x
    x = 978,174.72/1,429.92
  6. Step 6: Final answer
    x = 684.08

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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.