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Finding the Fourth Proportional to 1,131.65, 1,561.75 and 634.28

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Solution

The fourth proportional to 1,131.65, 1,561.75 and 634.28 is: 875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.65 : 1,561.75 = 634.28 : x
  2. Step 2: Convert to fraction form
    1,131.65/1,561.75 = 634.28/x
  3. Step 3: Cross multiply
    1,131.65x = 1,561.75 × 634.28
  4. Step 4: Simplify right side
    1,131.65x = 990,577.40
  5. Step 5: Solve for x
    x = 990,577.40/1,131.65
  6. Step 6: Final answer
    x = 875.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.