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Finding the Fourth Proportional to 1,004.87, 1,506.96 and 311.45

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Solution

The fourth proportional to 1,004.87, 1,506.96 and 311.45 is: 467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.87 : 1,506.96 = 311.45 : x
  2. Step 2: Convert to fraction form
    1,004.87/1,506.96 = 311.45/x
  3. Step 3: Cross multiply
    1,004.87x = 1,506.96 × 311.45
  4. Step 4: Simplify right side
    1,004.87x = 469,342.69
  5. Step 5: Solve for x
    x = 469,342.69/1,004.87
  6. Step 6: Final answer
    x = 467.07

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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.