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Finding the Fourth Proportional to 1,001.35, 1,502.82 and 695.37

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Solution

The fourth proportional to 1,001.35, 1,502.82 and 695.37 is: 1,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.35 : 1,502.82 = 695.37 : x
  2. Step 2: Convert to fraction form
    1,001.35/1,502.82 = 695.37/x
  3. Step 3: Cross multiply
    1,001.35x = 1,502.82 × 695.37
  4. Step 4: Simplify right side
    1,001.35x = 1,045,015.94
  5. Step 5: Solve for x
    x = 1,045,015.94/1,001.35
  6. Step 6: Final answer
    x = 1,043.61

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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.