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Finding the Fourth Proportional to 875.34, 1,315.89 and 731.34

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Solution

The fourth proportional to 875.34, 1,315.89 and 731.34 is: 1,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.34 : 1,315.89 = 731.34 : x
  2. Step 2: Convert to fraction form
    875.34/1,315.89 = 731.34/x
  3. Step 3: Cross multiply
    875.34x = 1,315.89 × 731.34
  4. Step 4: Simplify right side
    875.34x = 962,362.99
  5. Step 5: Solve for x
    x = 962,362.99/875.34
  6. Step 6: Final answer
    x = 1,099.42

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