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Finding the Fourth Proportional to 1,126.37, 1,689.87 and 346.48

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Solution

The fourth proportional to 1,126.37, 1,689.87 and 346.48 is: 519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.37 : 1,689.87 = 346.48 : x
  2. Step 2: Convert to fraction form
    1,126.37/1,689.87 = 346.48/x
  3. Step 3: Cross multiply
    1,126.37x = 1,689.87 × 346.48
  4. Step 4: Simplify right side
    1,126.37x = 585,505.48
  5. Step 5: Solve for x
    x = 585,505.48/1,126.37
  6. Step 6: Final answer
    x = 519.82

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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.