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Finding the Fourth Proportional to 1,004.77, 1,507.29 and 311.49

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Solution

The fourth proportional to 1,004.77, 1,507.29 and 311.49 is: 467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.77 : 1,507.29 = 311.49 : x
  2. Step 2: Convert to fraction form
    1,004.77/1,507.29 = 311.49/x
  3. Step 3: Cross multiply
    1,004.77x = 1,507.29 × 311.49
  4. Step 4: Simplify right side
    1,004.77x = 469,505.76
  5. Step 5: Solve for x
    x = 469,505.76/1,004.77
  6. Step 6: Final answer
    x = 467.28

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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.