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Finding the Fourth Proportional to 1,004.60, 1,506.42 and 311.08

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Solution

The fourth proportional to 1,004.60, 1,506.42 and 311.08 is: 466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.60 : 1,506.42 = 311.08 : x
  2. Step 2: Convert to fraction form
    1,004.60/1,506.42 = 311.08/x
  3. Step 3: Cross multiply
    1,004.60x = 1,506.42 × 311.08
  4. Step 4: Simplify right side
    1,004.60x = 468,617.13
  5. Step 5: Solve for x
    x = 468,617.13/1,004.60
  6. Step 6: Final answer
    x = 466.47

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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.