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Finding the Fourth Proportional to 759.53, 1,137.50 and 429.66

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Solution

The fourth proportional to 759.53, 1,137.50 and 429.66 is: 643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.53 : 1,137.50 = 429.66 : x
  2. Step 2: Convert to fraction form
    759.53/1,137.50 = 429.66/x
  3. Step 3: Cross multiply
    759.53x = 1,137.50 × 429.66
  4. Step 4: Simplify right side
    759.53x = 488,736.10
  5. Step 5: Solve for x
    x = 488,736.10/759.53
  6. Step 6: Final answer
    x = 643.48

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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.