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Finding the Fourth Proportional to 1,087.63, 1,631.47 and 265.90

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Solution

The fourth proportional to 1,087.63, 1,631.47 and 265.90 is: 398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.63 : 1,631.47 = 265.90 : x
  2. Step 2: Convert to fraction form
    1,087.63/1,631.47 = 265.90/x
  3. Step 3: Cross multiply
    1,087.63x = 1,631.47 × 265.90
  4. Step 4: Simplify right side
    1,087.63x = 433,808.27
  5. Step 5: Solve for x
    x = 433,808.27/1,087.63
  6. Step 6: Final answer
    x = 398.86

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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.