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Finding the Fourth Proportional to 1,126.69, 1,690.05 and 510.41

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Solution

The fourth proportional to 1,126.69, 1,690.05 and 510.41 is: 765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.69 : 1,690.05 = 510.41 : x
  2. Step 2: Convert to fraction form
    1,126.69/1,690.05 = 510.41/x
  3. Step 3: Cross multiply
    1,126.69x = 1,690.05 × 510.41
  4. Step 4: Simplify right side
    1,126.69x = 862,618.42
  5. Step 5: Solve for x
    x = 862,618.42/1,126.69
  6. Step 6: Final answer
    x = 765.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.