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Finding the Fourth Proportional to 1,138.48, 1,707.80 and 408.16

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Solution

The fourth proportional to 1,138.48, 1,707.80 and 408.16 is: 612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.48 : 1,707.80 = 408.16 : x
  2. Step 2: Convert to fraction form
    1,138.48/1,707.80 = 408.16/x
  3. Step 3: Cross multiply
    1,138.48x = 1,707.80 × 408.16
  4. Step 4: Simplify right side
    1,138.48x = 697,055.65
  5. Step 5: Solve for x
    x = 697,055.65/1,138.48
  6. Step 6: Final answer
    x = 612.27

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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.