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Finding the Fourth Proportional to 835.50, 1,153.14 and 486.12

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Solution

The fourth proportional to 835.50, 1,153.14 and 486.12 is: 670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.50 : 1,153.14 = 486.12 : x
  2. Step 2: Convert to fraction form
    835.50/1,153.14 = 486.12/x
  3. Step 3: Cross multiply
    835.50x = 1,153.14 × 486.12
  4. Step 4: Simplify right side
    835.50x = 560,564.42
  5. Step 5: Solve for x
    x = 560,564.42/835.50
  6. Step 6: Final answer
    x = 670.93

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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.