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Finding the Fourth Proportional to 1,138.98, 1,707.24 and 522.30

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Solution

The fourth proportional to 1,138.98, 1,707.24 and 522.30 is: 782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.98 : 1,707.24 = 522.30 : x
  2. Step 2: Convert to fraction form
    1,138.98/1,707.24 = 522.30/x
  3. Step 3: Cross multiply
    1,138.98x = 1,707.24 × 522.30
  4. Step 4: Simplify right side
    1,138.98x = 891,691.45
  5. Step 5: Solve for x
    x = 891,691.45/1,138.98
  6. Step 6: Final answer
    x = 782.89

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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.