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Finding the Fourth Proportional to 1,131.57, 1,703.43 and 1,012.50

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Solution

The fourth proportional to 1,131.57, 1,703.43 and 1,012.50 is: 1,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.57 : 1,703.43 = 1,012.50 : x
  2. Step 2: Convert to fraction form
    1,131.57/1,703.43 = 1,012.50/x
  3. Step 3: Cross multiply
    1,131.57x = 1,703.43 × 1,012.50
  4. Step 4: Simplify right side
    1,131.57x = 1,724,722.88
  5. Step 5: Solve for x
    x = 1,724,722.88/1,131.57
  6. Step 6: Final answer
    x = 1,524.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.