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Finding the Fourth Proportional to 1,126.85, 1,689.71 and 346.66

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Solution

The fourth proportional to 1,126.85, 1,689.71 and 346.66 is: 519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.85 : 1,689.71 = 346.66 : x
  2. Step 2: Convert to fraction form
    1,126.85/1,689.71 = 346.66/x
  3. Step 3: Cross multiply
    1,126.85x = 1,689.71 × 346.66
  4. Step 4: Simplify right side
    1,126.85x = 585,754.87
  5. Step 5: Solve for x
    x = 585,754.87/1,126.85
  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.