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Finding the Fourth Proportional to 751.96, 1,037.69 and 420.42

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Solution

The fourth proportional to 751.96, 1,037.69 and 420.42 is: 580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.96 : 1,037.69 = 420.42 : x
  2. Step 2: Convert to fraction form
    751.96/1,037.69 = 420.42/x
  3. Step 3: Cross multiply
    751.96x = 1,037.69 × 420.42
  4. Step 4: Simplify right side
    751.96x = 436,258.34
  5. Step 5: Solve for x
    x = 436,258.34/751.96
  6. Step 6: Final answer
    x = 580.16

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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.