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Finding the Fourth Proportional to 967.48, 1,335.03 and 547.86

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Solution

The fourth proportional to 967.48, 1,335.03 and 547.86 is: 755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.48 : 1,335.03 = 547.86 : x
  2. Step 2: Convert to fraction form
    967.48/1,335.03 = 547.86/x
  3. Step 3: Cross multiply
    967.48x = 1,335.03 × 547.86
  4. Step 4: Simplify right side
    967.48x = 731,409.54
  5. Step 5: Solve for x
    x = 731,409.54/967.48
  6. Step 6: Final answer
    x = 755.99

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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.