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Finding the Fourth Proportional to 1,087.02, 1,630.51 and 265.27

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Solution

The fourth proportional to 1,087.02, 1,630.51 and 265.27 is: 397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.02 : 1,630.51 = 265.27 : x
  2. Step 2: Convert to fraction form
    1,087.02/1,630.51 = 265.27/x
  3. Step 3: Cross multiply
    1,087.02x = 1,630.51 × 265.27
  4. Step 4: Simplify right side
    1,087.02x = 432,525.39
  5. Step 5: Solve for x
    x = 432,525.39/1,087.02
  6. Step 6: Final answer
    x = 397.90

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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.