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Finding the Fourth Proportional to 1,003.10, 1,383.63 and 604.58

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Solution

The fourth proportional to 1,003.10, 1,383.63 and 604.58 is: 833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.10 : 1,383.63 = 604.58 : x
  2. Step 2: Convert to fraction form
    1,003.10/1,383.63 = 604.58/x
  3. Step 3: Cross multiply
    1,003.10x = 1,383.63 × 604.58
  4. Step 4: Simplify right side
    1,003.10x = 836,515.03
  5. Step 5: Solve for x
    x = 836,515.03/1,003.10
  6. Step 6: Final answer
    x = 833.93

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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.