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Finding the Fourth Proportional to 1,131.70, 1,695.72 and 583.12

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Solution

The fourth proportional to 1,131.70, 1,695.72 and 583.12 is: 873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.70 : 1,695.72 = 583.12 : x
  2. Step 2: Convert to fraction form
    1,131.70/1,695.72 = 583.12/x
  3. Step 3: Cross multiply
    1,131.70x = 1,695.72 × 583.12
  4. Step 4: Simplify right side
    1,131.70x = 988,808.25
  5. Step 5: Solve for x
    x = 988,808.25/1,131.70
  6. Step 6: Final answer
    x = 873.74

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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.