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Finding the Fourth Proportional to 1,202.26, 1,803.12 and 471.46

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Solution

The fourth proportional to 1,202.26, 1,803.12 and 471.46 is: 707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.26 : 1,803.12 = 471.46 : x
  2. Step 2: Convert to fraction form
    1,202.26/1,803.12 = 471.46/x
  3. Step 3: Cross multiply
    1,202.26x = 1,803.12 × 471.46
  4. Step 4: Simplify right side
    1,202.26x = 850,098.96
  5. Step 5: Solve for x
    x = 850,098.96/1,202.26
  6. Step 6: Final answer
    x = 707.08

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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.