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Finding the Fourth Proportional to 1,429.82, 2,145.19 and 650.10

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Solution

The fourth proportional to 1,429.82, 2,145.19 and 650.10 is: 975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.82 : 2,145.19 = 650.10 : x
  2. Step 2: Convert to fraction form
    1,429.82/2,145.19 = 650.10/x
  3. Step 3: Cross multiply
    1,429.82x = 2,145.19 × 650.10
  4. Step 4: Simplify right side
    1,429.82x = 1,394,588.02
  5. Step 5: Solve for x
    x = 1,394,588.02/1,429.82
  6. Step 6: Final answer
    x = 975.36

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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.