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Finding the Fourth Proportional to 1,201.56, 1,803.14 and 471.05

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Solution

The fourth proportional to 1,201.56, 1,803.14 and 471.05 is: 706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.56 : 1,803.14 = 471.05 : x
  2. Step 2: Convert to fraction form
    1,201.56/1,803.14 = 471.05/x
  3. Step 3: Cross multiply
    1,201.56x = 1,803.14 × 471.05
  4. Step 4: Simplify right side
    1,201.56x = 849,369.10
  5. Step 5: Solve for x
    x = 849,369.10/1,201.56
  6. Step 6: Final answer
    x = 706.89

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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.