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Finding the Fourth Proportional to 1,070.82, 1,603.80 and 949.32

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Solution

The fourth proportional to 1,070.82, 1,603.80 and 949.32 is: 1,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.82 : 1,603.80 = 949.32 : x
  2. Step 2: Convert to fraction form
    1,070.82/1,603.80 = 949.32/x
  3. Step 3: Cross multiply
    1,070.82x = 1,603.80 × 949.32
  4. Step 4: Simplify right side
    1,070.82x = 1,522,519.42
  5. Step 5: Solve for x
    x = 1,522,519.42/1,070.82
  6. Step 6: Final answer
    x = 1,421.83

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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.