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Finding the Fourth Proportional to 1,138.39, 1,707.84 and 522.19

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Solution

The fourth proportional to 1,138.39, 1,707.84 and 522.19 is: 783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.39 : 1,707.84 = 522.19 : x
  2. Step 2: Convert to fraction form
    1,138.39/1,707.84 = 522.19/x
  3. Step 3: Cross multiply
    1,138.39x = 1,707.84 × 522.19
  4. Step 4: Simplify right side
    1,138.39x = 891,816.97
  5. Step 5: Solve for x
    x = 891,816.97/1,138.39
  6. Step 6: Final answer
    x = 783.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.