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Finding the Fourth Proportional to 758.41, 1,137.09 and 429.57

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Solution

The fourth proportional to 758.41, 1,137.09 and 429.57 is: 644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.41 : 1,137.09 = 429.57 : x
  2. Step 2: Convert to fraction form
    758.41/1,137.09 = 429.57/x
  3. Step 3: Cross multiply
    758.41x = 1,137.09 × 429.57
  4. Step 4: Simplify right side
    758.41x = 488,459.75
  5. Step 5: Solve for x
    x = 488,459.75/758.41
  6. Step 6: Final answer
    x = 644.06

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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.