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Finding the Fourth Proportional to 837.36, 1,153.68 and 762.84

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Solution

The fourth proportional to 837.36, 1,153.68 and 762.84 is: 1,051.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.36 : 1,153.68 = 762.84 : x
  2. Step 2: Convert to fraction form
    837.36/1,153.68 = 762.84/x
  3. Step 3: Cross multiply
    837.36x = 1,153.68 × 762.84
  4. Step 4: Simplify right side
    837.36x = 880,073.25
  5. Step 5: Solve for x
    x = 880,073.25/837.36
  6. Step 6: Final answer
    x = 1,051.01

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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.