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Finding the Fourth Proportional to 1,137.50, 1,570.79 and 1,076.12

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Solution

The fourth proportional to 1,137.50, 1,570.79 and 1,076.12 is: 1,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.50 : 1,570.79 = 1,076.12 : x
  2. Step 2: Convert to fraction form
    1,137.50/1,570.79 = 1,076.12/x
  3. Step 3: Cross multiply
    1,137.50x = 1,570.79 × 1,076.12
  4. Step 4: Simplify right side
    1,137.50x = 1,690,353.37
  5. Step 5: Solve for x
    x = 1,690,353.37/1,137.50
  6. Step 6: Final answer
    x = 1,486.03

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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.