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Finding the Fourth Proportional to 1,087.63, 1,632.20 and 471.02

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Solution

The fourth proportional to 1,087.63, 1,632.20 and 471.02 is: 706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.63 : 1,632.20 = 471.02 : x
  2. Step 2: Convert to fraction form
    1,087.63/1,632.20 = 471.02/x
  3. Step 3: Cross multiply
    1,087.63x = 1,632.20 × 471.02
  4. Step 4: Simplify right side
    1,087.63x = 768,790.98
  5. Step 5: Solve for x
    x = 768,790.98/1,087.63
  6. Step 6: Final answer
    x = 706.85

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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.