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Finding the Fourth Proportional to 1,045.82, 1,568.46 and 429.69

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Solution

The fourth proportional to 1,045.82, 1,568.46 and 429.69 is: 644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.82 : 1,568.46 = 429.69 : x
  2. Step 2: Convert to fraction form
    1,045.82/1,568.46 = 429.69/x
  3. Step 3: Cross multiply
    1,045.82x = 1,568.46 × 429.69
  4. Step 4: Simplify right side
    1,045.82x = 673,951.58
  5. Step 5: Solve for x
    x = 673,951.58/1,045.82
  6. Step 6: Final answer
    x = 644.43

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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.