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Finding the Fourth Proportional to 1,138.25, 1,707.73 and 513.74

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Solution

The fourth proportional to 1,138.25, 1,707.73 and 513.74 is: 770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.25 : 1,707.73 = 513.74 : x
  2. Step 2: Convert to fraction form
    1,138.25/1,707.73 = 513.74/x
  3. Step 3: Cross multiply
    1,138.25x = 1,707.73 × 513.74
  4. Step 4: Simplify right side
    1,138.25x = 877,335.08
  5. Step 5: Solve for x
    x = 877,335.08/1,138.25
  6. Step 6: Final answer
    x = 770.77

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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.