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Finding the Fourth Proportional to 1,004.86, 1,507.68 and 311.58

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Solution

The fourth proportional to 1,004.86, 1,507.68 and 311.58 is: 467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.86 : 1,507.68 = 311.58 : x
  2. Step 2: Convert to fraction form
    1,004.86/1,507.68 = 311.58/x
  3. Step 3: Cross multiply
    1,004.86x = 1,507.68 × 311.58
  4. Step 4: Simplify right side
    1,004.86x = 469,760.11
  5. Step 5: Solve for x
    x = 469,760.11/1,004.86
  6. Step 6: Final answer
    x = 467.49

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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.