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Finding the Fourth Proportional to 1,041.81, 1,562.87 and 311.30

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Solution

The fourth proportional to 1,041.81, 1,562.87 and 311.30 is: 467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.81 : 1,562.87 = 311.30 : x
  2. Step 2: Convert to fraction form
    1,041.81/1,562.87 = 311.30/x
  3. Step 3: Cross multiply
    1,041.81x = 1,562.87 × 311.30
  4. Step 4: Simplify right side
    1,041.81x = 486,521.43
  5. Step 5: Solve for x
    x = 486,521.43/1,041.81
  6. Step 6: Final answer
    x = 467.00

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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.