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Finding the Fourth Proportional to 751.76, 1,037.49 and 420.32

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Solution

The fourth proportional to 751.76, 1,037.49 and 420.32 is: 580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.76 : 1,037.49 = 420.32 : x
  2. Step 2: Convert to fraction form
    751.76/1,037.49 = 420.32/x
  3. Step 3: Cross multiply
    751.76x = 1,037.49 × 420.32
  4. Step 4: Simplify right side
    751.76x = 436,077.80
  5. Step 5: Solve for x
    x = 436,077.80/751.76
  6. Step 6: Final answer
    x = 580.08

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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.