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Finding the Fourth Proportional to 1,383.87, 2,073.06 and 651.23

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Solution

The fourth proportional to 1,383.87, 2,073.06 and 651.23 is: 975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.87 : 2,073.06 = 651.23 : x
  2. Step 2: Convert to fraction form
    1,383.87/2,073.06 = 651.23/x
  3. Step 3: Cross multiply
    1,383.87x = 2,073.06 × 651.23
  4. Step 4: Simplify right side
    1,383.87x = 1,350,036.27
  5. Step 5: Solve for x
    x = 1,350,036.27/1,383.87
  6. Step 6: Final answer
    x = 975.55

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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.