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Finding the Fourth Proportional to 751.80, 1,037.56 and 420.28

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Solution

The fourth proportional to 751.80, 1,037.56 and 420.28 is: 580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.80 : 1,037.56 = 420.28 : x
  2. Step 2: Convert to fraction form
    751.80/1,037.56 = 420.28/x
  3. Step 3: Cross multiply
    751.80x = 1,037.56 × 420.28
  4. Step 4: Simplify right side
    751.80x = 436,065.72
  5. Step 5: Solve for x
    x = 436,065.72/751.80
  6. Step 6: Final answer
    x = 580.03

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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.