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Finding the Fourth Proportional to 1,429.97, 2,144.93 and 456.06

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Solution

The fourth proportional to 1,429.97, 2,144.93 and 456.06 is: 684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.97 : 2,144.93 = 456.06 : x
  2. Step 2: Convert to fraction form
    1,429.97/2,144.93 = 456.06/x
  3. Step 3: Cross multiply
    1,429.97x = 2,144.93 × 456.06
  4. Step 4: Simplify right side
    1,429.97x = 978,214.50
  5. Step 5: Solve for x
    x = 978,214.50/1,429.97
  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.