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Finding the Fourth Proportional to 1,004.55, 1,506.90 and 311.21

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Solution

The fourth proportional to 1,004.55, 1,506.90 and 311.21 is: 466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.55 : 1,506.90 = 311.21 : x
  2. Step 2: Convert to fraction form
    1,004.55/1,506.90 = 311.21/x
  3. Step 3: Cross multiply
    1,004.55x = 1,506.90 × 311.21
  4. Step 4: Simplify right side
    1,004.55x = 468,962.35
  5. Step 5: Solve for x
    x = 468,962.35/1,004.55
  6. Step 6: Final answer
    x = 466.84

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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.