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Finding the Fourth Proportional to 1,135.18, 1,700.38 and 519.41

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Solution

The fourth proportional to 1,135.18, 1,700.38 and 519.41 is: 778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.18 : 1,700.38 = 519.41 : x
  2. Step 2: Convert to fraction form
    1,135.18/1,700.38 = 519.41/x
  3. Step 3: Cross multiply
    1,135.18x = 1,700.38 × 519.41
  4. Step 4: Simplify right side
    1,135.18x = 883,185.87
  5. Step 5: Solve for x
    x = 883,185.87/1,135.18
  6. Step 6: Final answer
    x = 778.01

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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.