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Finding the Fourth Proportional to 835.50, 1,152.14 and 541.46

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Solution

The fourth proportional to 835.50, 1,152.14 and 541.46 is: 746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.50 : 1,152.14 = 541.46 : x
  2. Step 2: Convert to fraction form
    835.50/1,152.14 = 541.46/x
  3. Step 3: Cross multiply
    835.50x = 1,152.14 × 541.46
  4. Step 4: Simplify right side
    835.50x = 623,837.72
  5. Step 5: Solve for x
    x = 623,837.72/835.50
  6. Step 6: Final answer
    x = 746.66

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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.