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Finding the Fourth Proportional to 751.94, 1,037.77 and 420.49

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Solution

The fourth proportional to 751.94, 1,037.77 and 420.49 is: 580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.94 : 1,037.77 = 420.49 : x
  2. Step 2: Convert to fraction form
    751.94/1,037.77 = 420.49/x
  3. Step 3: Cross multiply
    751.94x = 1,037.77 × 420.49
  4. Step 4: Simplify right side
    751.94x = 436,368.26
  5. Step 5: Solve for x
    x = 436,368.26/751.94
  6. Step 6: Final answer
    x = 580.33

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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.