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Finding the Fourth Proportional to 875.04, 1,313.22 and 829.92

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Solution

The fourth proportional to 875.04, 1,313.22 and 829.92 is: 1,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.04 : 1,313.22 = 829.92 : x
  2. Step 2: Convert to fraction form
    875.04/1,313.22 = 829.92/x
  3. Step 3: Cross multiply
    875.04x = 1,313.22 × 829.92
  4. Step 4: Simplify right side
    875.04x = 1,089,867.54
  5. Step 5: Solve for x
    x = 1,089,867.54/875.04
  6. Step 6: Final answer
    x = 1,245.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.