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Finding the Fourth Proportional to 1,182.55, 1,631.94 and 651.46

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Solution

The fourth proportional to 1,182.55, 1,631.94 and 651.46 is: 899.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.55 : 1,631.94 = 651.46 : x
  2. Step 2: Convert to fraction form
    1,182.55/1,631.94 = 651.46/x
  3. Step 3: Cross multiply
    1,182.55x = 1,631.94 × 651.46
  4. Step 4: Simplify right side
    1,182.55x = 1,063,143.63
  5. Step 5: Solve for x
    x = 1,063,143.63/1,182.55
  6. Step 6: Final answer
    x = 899.03

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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.