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Finding the Fourth Proportional to 1,429.77, 2,145.06 and 650.43

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Solution

The fourth proportional to 1,429.77, 2,145.06 and 650.43 is: 975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.77 : 2,145.06 = 650.43 : x
  2. Step 2: Convert to fraction form
    1,429.77/2,145.06 = 650.43/x
  3. Step 3: Cross multiply
    1,429.77x = 2,145.06 × 650.43
  4. Step 4: Simplify right side
    1,429.77x = 1,395,211.38
  5. Step 5: Solve for x
    x = 1,395,211.38/1,429.77
  6. Step 6: Final answer
    x = 975.83

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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.