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Finding the Fourth Proportional to 1,004.82, 1,504.80 and 695.86

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Solution

The fourth proportional to 1,004.82, 1,504.80 and 695.86 is: 1,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.82 : 1,504.80 = 695.86 : x
  2. Step 2: Convert to fraction form
    1,004.82/1,504.80 = 695.86/x
  3. Step 3: Cross multiply
    1,004.82x = 1,504.80 × 695.86
  4. Step 4: Simplify right side
    1,004.82x = 1,047,130.13
  5. Step 5: Solve for x
    x = 1,047,130.13/1,004.82
  6. Step 6: Final answer
    x = 1,042.11

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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.