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Finding the Fourth Proportional to 1,126.83, 1,690.92 and 477.56

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Solution

The fourth proportional to 1,126.83, 1,690.92 and 477.56 is: 716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.83 : 1,690.92 = 477.56 : x
  2. Step 2: Convert to fraction form
    1,126.83/1,690.92 = 477.56/x
  3. Step 3: Cross multiply
    1,126.83x = 1,690.92 × 477.56
  4. Step 4: Simplify right side
    1,126.83x = 807,515.76
  5. Step 5: Solve for x
    x = 807,515.76/1,126.83
  6. Step 6: Final answer
    x = 716.63

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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.