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Finding the Fourth Proportional to 1,041.89, 1,562.87 and 311.54

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Solution

The fourth proportional to 1,041.89, 1,562.87 and 311.54 is: 467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.89 : 1,562.87 = 311.54 : x
  2. Step 2: Convert to fraction form
    1,041.89/1,562.87 = 311.54/x
  3. Step 3: Cross multiply
    1,041.89x = 1,562.87 × 311.54
  4. Step 4: Simplify right side
    1,041.89x = 486,889.48
  5. Step 5: Solve for x
    x = 486,889.48/1,041.89
  6. Step 6: Final answer
    x = 467.32

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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.