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Finding the Fourth Proportional to 1,594.78, 2,391.40 and 554.43

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Solution

The fourth proportional to 1,594.78, 2,391.40 and 554.43 is: 831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.78 : 2,391.40 = 554.43 : x
  2. Step 2: Convert to fraction form
    1,594.78/2,391.40 = 554.43/x
  3. Step 3: Cross multiply
    1,594.78x = 2,391.40 × 554.43
  4. Step 4: Simplify right side
    1,594.78x = 1,325,863.90
  5. Step 5: Solve for x
    x = 1,325,863.90/1,594.78
  6. Step 6: Final answer
    x = 831.38

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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.