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Finding the Fourth Proportional to 835.47, 1,253.25 and 527.58

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Solution

The fourth proportional to 835.47, 1,253.25 and 527.58 is: 791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.47 : 1,253.25 = 527.58 : x
  2. Step 2: Convert to fraction form
    835.47/1,253.25 = 527.58/x
  3. Step 3: Cross multiply
    835.47x = 1,253.25 × 527.58
  4. Step 4: Simplify right side
    835.47x = 661,189.64
  5. Step 5: Solve for x
    x = 661,189.64/835.47
  6. Step 6: Final answer
    x = 791.40

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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.