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Finding the Fourth Proportional to 1,126.68, 1,690.22 and 510.36

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Solution

The fourth proportional to 1,126.68, 1,690.22 and 510.36 is: 765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.68 : 1,690.22 = 510.36 : x
  2. Step 2: Convert to fraction form
    1,126.68/1,690.22 = 510.36/x
  3. Step 3: Cross multiply
    1,126.68x = 1,690.22 × 510.36
  4. Step 4: Simplify right side
    1,126.68x = 862,620.68
  5. Step 5: Solve for x
    x = 862,620.68/1,126.68
  6. Step 6: Final answer
    x = 765.63

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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.