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Finding the Fourth Proportional to 1,131.71, 1,698.05 and 611.10

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Solution

The fourth proportional to 1,131.71, 1,698.05 and 611.10 is: 916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.71 : 1,698.05 = 611.10 : x
  2. Step 2: Convert to fraction form
    1,131.71/1,698.05 = 611.10/x
  3. Step 3: Cross multiply
    1,131.71x = 1,698.05 × 611.10
  4. Step 4: Simplify right side
    1,131.71x = 1,037,679.88
  5. Step 5: Solve for x
    x = 1,037,679.88/1,131.71
  6. Step 6: Final answer
    x = 916.92

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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.