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Finding the Fourth Proportional to 1,138.23, 1,707.17 and 316.49

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Solution

The fourth proportional to 1,138.23, 1,707.17 and 316.49 is: 474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.23 : 1,707.17 = 316.49 : x
  2. Step 2: Convert to fraction form
    1,138.23/1,707.17 = 316.49/x
  3. Step 3: Cross multiply
    1,138.23x = 1,707.17 × 316.49
  4. Step 4: Simplify right side
    1,138.23x = 540,292.12
  5. Step 5: Solve for x
    x = 540,292.12/1,138.23
  6. Step 6: Final answer
    x = 474.68

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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.