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Finding the Fourth Proportional to 1,131.84, 1,561.50 and 837.72

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Solution

The fourth proportional to 1,131.84, 1,561.50 and 837.72 is: 1,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.84 : 1,561.50 = 837.72 : x
  2. Step 2: Convert to fraction form
    1,131.84/1,561.50 = 837.72/x
  3. Step 3: Cross multiply
    1,131.84x = 1,561.50 × 837.72
  4. Step 4: Simplify right side
    1,131.84x = 1,308,099.78
  5. Step 5: Solve for x
    x = 1,308,099.78/1,131.84
  6. Step 6: Final answer
    x = 1,155.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.