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Finding the Fourth Proportional to 1,004.59, 1,506.86 and 311.23

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Solution

The fourth proportional to 1,004.59, 1,506.86 and 311.23 is: 466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.59 : 1,506.86 = 311.23 : x
  2. Step 2: Convert to fraction form
    1,004.59/1,506.86 = 311.23/x
  3. Step 3: Cross multiply
    1,004.59x = 1,506.86 × 311.23
  4. Step 4: Simplify right side
    1,004.59x = 468,980.04
  5. Step 5: Solve for x
    x = 468,980.04/1,004.59
  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.