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Finding the Fourth Proportional to 1,126.73, 1,689.64 and 346.55

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Solution

The fourth proportional to 1,126.73, 1,689.64 and 346.55 is: 519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.73 : 1,689.64 = 346.55 : x
  2. Step 2: Convert to fraction form
    1,126.73/1,689.64 = 346.55/x
  3. Step 3: Cross multiply
    1,126.73x = 1,689.64 × 346.55
  4. Step 4: Simplify right side
    1,126.73x = 585,535.43
  5. Step 5: Solve for x
    x = 585,535.43/1,126.73
  6. Step 6: Final answer
    x = 519.68

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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.