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Finding the Fourth Proportional to 816.64, 1,126.47 and 761.96

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Solution

The fourth proportional to 816.64, 1,126.47 and 761.96 is: 1,051.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.64 : 1,126.47 = 761.96 : x
  2. Step 2: Convert to fraction form
    816.64/1,126.47 = 761.96/x
  3. Step 3: Cross multiply
    816.64x = 1,126.47 × 761.96
  4. Step 4: Simplify right side
    816.64x = 858,324.36
  5. Step 5: Solve for x
    x = 858,324.36/816.64
  6. Step 6: Final answer
    x = 1,051.05

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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.