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Finding the Fourth Proportional to 751.86, 1,037.57 and 420.23

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Solution

The fourth proportional to 751.86, 1,037.57 and 420.23 is: 579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.86 : 1,037.57 = 420.23 : x
  2. Step 2: Convert to fraction form
    751.86/1,037.57 = 420.23/x
  3. Step 3: Cross multiply
    751.86x = 1,037.57 × 420.23
  4. Step 4: Simplify right side
    751.86x = 436,018.04
  5. Step 5: Solve for x
    x = 436,018.04/751.86
  6. Step 6: Final answer
    x = 579.92

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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.