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Finding the Fourth Proportional to 1,041.47, 1,562.22 and 311.06

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Solution

The fourth proportional to 1,041.47, 1,562.22 and 311.06 is: 466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.47 : 1,562.22 = 311.06 : x
  2. Step 2: Convert to fraction form
    1,041.47/1,562.22 = 311.06/x
  3. Step 3: Cross multiply
    1,041.47x = 1,562.22 × 311.06
  4. Step 4: Simplify right side
    1,041.47x = 485,936.34
  5. Step 5: Solve for x
    x = 485,936.34/1,041.47
  6. Step 6: Final answer
    x = 466.59

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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.