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Finding the Fourth Proportional to 1,087.75, 1,630.49 and 471.14

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Solution

The fourth proportional to 1,087.75, 1,630.49 and 471.14 is: 706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.75 : 1,630.49 = 471.14 : x
  2. Step 2: Convert to fraction form
    1,087.75/1,630.49 = 471.14/x
  3. Step 3: Cross multiply
    1,087.75x = 1,630.49 × 471.14
  4. Step 4: Simplify right side
    1,087.75x = 768,189.06
  5. Step 5: Solve for x
    x = 768,189.06/1,087.75
  6. Step 6: Final answer
    x = 706.22

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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.