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Finding the Fourth Proportional to 1,004.62, 1,506.98 and 311.76

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Solution

The fourth proportional to 1,004.62, 1,506.98 and 311.76 is: 467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.62 : 1,506.98 = 311.76 : x
  2. Step 2: Convert to fraction form
    1,004.62/1,506.98 = 311.76/x
  3. Step 3: Cross multiply
    1,004.62x = 1,506.98 × 311.76
  4. Step 4: Simplify right side
    1,004.62x = 469,816.08
  5. Step 5: Solve for x
    x = 469,816.08/1,004.62
  6. Step 6: Final answer
    x = 467.66

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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.