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Finding the Fourth Proportional to 1,138.54, 1,707.90 and 408.28

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Solution

The fourth proportional to 1,138.54, 1,707.90 and 408.28 is: 612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.54 : 1,707.90 = 408.28 : x
  2. Step 2: Convert to fraction form
    1,138.54/1,707.90 = 408.28/x
  3. Step 3: Cross multiply
    1,138.54x = 1,707.90 × 408.28
  4. Step 4: Simplify right side
    1,138.54x = 697,301.41
  5. Step 5: Solve for x
    x = 697,301.41/1,138.54
  6. Step 6: Final answer
    x = 612.45

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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.