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Finding the Fourth Proportional to 1,126.69, 1,690.31 and 357.19

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Solution

The fourth proportional to 1,126.69, 1,690.31 and 357.19 is: 535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.69 : 1,690.31 = 357.19 : x
  2. Step 2: Convert to fraction form
    1,126.69/1,690.31 = 357.19/x
  3. Step 3: Cross multiply
    1,126.69x = 1,690.31 × 357.19
  4. Step 4: Simplify right side
    1,126.69x = 603,755.82
  5. Step 5: Solve for x
    x = 603,755.82/1,126.69
  6. Step 6: Final answer
    x = 535.87

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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.