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Finding the Fourth Proportional to 875.48, 1,311.90 and 528.43

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Solution

The fourth proportional to 875.48, 1,311.90 and 528.43 is: 791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.48 : 1,311.90 = 528.43 : x
  2. Step 2: Convert to fraction form
    875.48/1,311.90 = 528.43/x
  3. Step 3: Cross multiply
    875.48x = 1,311.90 × 528.43
  4. Step 4: Simplify right side
    875.48x = 693,242.06
  5. Step 5: Solve for x
    x = 693,242.06/875.48
  6. Step 6: Final answer
    x = 791.84

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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.