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Finding the Fourth Proportional to 1,138.60, 1,708.06 and 522.46

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Solution

The fourth proportional to 1,138.60, 1,708.06 and 522.46 is: 783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.60 : 1,708.06 = 522.46 : x
  2. Step 2: Convert to fraction form
    1,138.60/1,708.06 = 522.46/x
  3. Step 3: Cross multiply
    1,138.60x = 1,708.06 × 522.46
  4. Step 4: Simplify right side
    1,138.60x = 892,393.03
  5. Step 5: Solve for x
    x = 892,393.03/1,138.60
  6. Step 6: Final answer
    x = 783.76

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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.