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Finding the Fourth Proportional to 1,004.69, 1,507.46 and 518.08

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Solution

The fourth proportional to 1,004.69, 1,507.46 and 518.08 is: 777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.69 : 1,507.46 = 518.08 : x
  2. Step 2: Convert to fraction form
    1,004.69/1,507.46 = 518.08/x
  3. Step 3: Cross multiply
    1,004.69x = 1,507.46 × 518.08
  4. Step 4: Simplify right side
    1,004.69x = 780,985.45
  5. Step 5: Solve for x
    x = 780,985.45/1,004.69
  6. Step 6: Final answer
    x = 777.34

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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.