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Finding the Fourth Proportional to 1,004.78, 1,507.85 and 456.68

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Solution

The fourth proportional to 1,004.78, 1,507.85 and 456.68 is: 685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.78 : 1,507.85 = 456.68 : x
  2. Step 2: Convert to fraction form
    1,004.78/1,507.85 = 456.68/x
  3. Step 3: Cross multiply
    1,004.78x = 1,507.85 × 456.68
  4. Step 4: Simplify right side
    1,004.78x = 688,604.94
  5. Step 5: Solve for x
    x = 688,604.94/1,004.78
  6. Step 6: Final answer
    x = 685.33

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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.