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Finding the Fourth Proportional to 751.85, 1,037.55 and 415.78

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Solution

The fourth proportional to 751.85, 1,037.55 and 415.78 is: 573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.85 : 1,037.55 = 415.78 : x
  2. Step 2: Convert to fraction form
    751.85/1,037.55 = 415.78/x
  3. Step 3: Cross multiply
    751.85x = 1,037.55 × 415.78
  4. Step 4: Simplify right side
    751.85x = 431,391.31
  5. Step 5: Solve for x
    x = 431,391.31/751.85
  6. Step 6: Final answer
    x = 573.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.