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Finding the Fourth Proportional to 835.71, 1,152.88 and 541.07

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Solution

The fourth proportional to 835.71, 1,152.88 and 541.07 is: 746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.71 : 1,152.88 = 541.07 : x
  2. Step 2: Convert to fraction form
    835.71/1,152.88 = 541.07/x
  3. Step 3: Cross multiply
    835.71x = 1,152.88 × 541.07
  4. Step 4: Simplify right side
    835.71x = 623,788.78
  5. Step 5: Solve for x
    x = 623,788.78/835.71
  6. Step 6: Final answer
    x = 746.42

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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.