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Finding the Fourth Proportional to 1,004.62, 1,505.94 and 565.36

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Solution

The fourth proportional to 1,004.62, 1,505.94 and 565.36 is: 847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.62 : 1,505.94 = 565.36 : x
  2. Step 2: Convert to fraction form
    1,004.62/1,505.94 = 565.36/x
  3. Step 3: Cross multiply
    1,004.62x = 1,505.94 × 565.36
  4. Step 4: Simplify right side
    1,004.62x = 851,398.24
  5. Step 5: Solve for x
    x = 851,398.24/1,004.62
  6. Step 6: Final answer
    x = 847.48

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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.