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Finding the Fourth Proportional to 755.83, 1,043.16 and 706.42

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Solution

The fourth proportional to 755.83, 1,043.16 and 706.42 is: 974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.83 : 1,043.16 = 706.42 : x
  2. Step 2: Convert to fraction form
    755.83/1,043.16 = 706.42/x
  3. Step 3: Cross multiply
    755.83x = 1,043.16 × 706.42
  4. Step 4: Simplify right side
    755.83x = 736,903.87
  5. Step 5: Solve for x
    x = 736,903.87/755.83
  6. Step 6: Final answer
    x = 974.97

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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.