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Finding the Fourth Proportional to 1,429.84, 2,145.36 and 608.29

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Solution

The fourth proportional to 1,429.84, 2,145.36 and 608.29 is: 912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.84 : 2,145.36 = 608.29 : x
  2. Step 2: Convert to fraction form
    1,429.84/2,145.36 = 608.29/x
  3. Step 3: Cross multiply
    1,429.84x = 2,145.36 × 608.29
  4. Step 4: Simplify right side
    1,429.84x = 1,305,001.03
  5. Step 5: Solve for x
    x = 1,305,001.03/1,429.84
  6. Step 6: Final answer
    x = 912.69

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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.