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Finding the Fourth Proportional to 1,147.76, 1,584.64 and 755.46

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Solution

The fourth proportional to 1,147.76, 1,584.64 and 755.46 is: 1,043.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.76 : 1,584.64 = 755.46 : x
  2. Step 2: Convert to fraction form
    1,147.76/1,584.64 = 755.46/x
  3. Step 3: Cross multiply
    1,147.76x = 1,584.64 × 755.46
  4. Step 4: Simplify right side
    1,147.76x = 1,197,132.13
  5. Step 5: Solve for x
    x = 1,197,132.13/1,147.76
  6. Step 6: Final answer
    x = 1,043.02

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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.