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Finding the Fourth Proportional to 837.30, 1,153.04 and 783.81

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Solution

The fourth proportional to 837.30, 1,153.04 and 783.81 is: 1,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.30 : 1,153.04 = 783.81 : x
  2. Step 2: Convert to fraction form
    837.30/1,153.04 = 783.81/x
  3. Step 3: Cross multiply
    837.30x = 1,153.04 × 783.81
  4. Step 4: Simplify right side
    837.30x = 903,764.69
  5. Step 5: Solve for x
    x = 903,764.69/837.30
  6. Step 6: Final answer
    x = 1,079.38

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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.