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Finding the Fourth Proportional to 1,004.46, 1,504.24 and 695.44

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Solution

The fourth proportional to 1,004.46, 1,504.24 and 695.44 is: 1,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.46 : 1,504.24 = 695.44 : x
  2. Step 2: Convert to fraction form
    1,004.46/1,504.24 = 695.44/x
  3. Step 3: Cross multiply
    1,004.46x = 1,504.24 × 695.44
  4. Step 4: Simplify right side
    1,004.46x = 1,046,108.67
  5. Step 5: Solve for x
    x = 1,046,108.67/1,004.46
  6. Step 6: Final answer
    x = 1,041.46

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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.