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Finding the Fourth Proportional to 1,002.95, 1,383.49 and 604.34

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Solution

The fourth proportional to 1,002.95, 1,383.49 and 604.34 is: 833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.95 : 1,383.49 = 604.34 : x
  2. Step 2: Convert to fraction form
    1,002.95/1,383.49 = 604.34/x
  3. Step 3: Cross multiply
    1,002.95x = 1,383.49 × 604.34
  4. Step 4: Simplify right side
    1,002.95x = 836,098.35
  5. Step 5: Solve for x
    x = 836,098.35/1,002.95
  6. Step 6: Final answer
    x = 833.64

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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.