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Finding the Fourth Proportional to 1,138.27, 1,707.57 and 522.03

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Solution

The fourth proportional to 1,138.27, 1,707.57 and 522.03 is: 783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.27 : 1,707.57 = 522.03 : x
  2. Step 2: Convert to fraction form
    1,138.27/1,707.57 = 522.03/x
  3. Step 3: Cross multiply
    1,138.27x = 1,707.57 × 522.03
  4. Step 4: Simplify right side
    1,138.27x = 891,406.04
  5. Step 5: Solve for x
    x = 891,406.04/1,138.27
  6. Step 6: Final answer
    x = 783.13

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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.