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Finding the Fourth Proportional to 1,383.18, 2,073.54 and 517.28

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Solution

The fourth proportional to 1,383.18, 2,073.54 and 517.28 is: 775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.18 : 2,073.54 = 517.28 : x
  2. Step 2: Convert to fraction form
    1,383.18/2,073.54 = 517.28/x
  3. Step 3: Cross multiply
    1,383.18x = 2,073.54 × 517.28
  4. Step 4: Simplify right side
    1,383.18x = 1,072,600.77
  5. Step 5: Solve for x
    x = 1,072,600.77/1,383.18
  6. Step 6: Final answer
    x = 775.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.