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Finding the Fourth Proportional to 1,070.56, 1,602 and 635.44

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Solution

The fourth proportional to 1,070.56, 1,602 and 635.44 is: 950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.56 : 1,602 = 635.44 : x
  2. Step 2: Convert to fraction form
    1,070.56/1,602 = 635.44/x
  3. Step 3: Cross multiply
    1,070.56x = 1,602 × 635.44
  4. Step 4: Simplify right side
    1,070.56x = 1,017,974.88
  5. Step 5: Solve for x
    x = 1,017,974.88/1,070.56
  6. Step 6: Final answer
    x = 950.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.