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Finding the Fourth Proportional to 1,131.96, 1,561.68 and 782.94

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Solution

The fourth proportional to 1,131.96, 1,561.68 and 782.94 is: 1,080.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.96 : 1,561.68 = 782.94 : x
  2. Step 2: Convert to fraction form
    1,131.96/1,561.68 = 782.94/x
  3. Step 3: Cross multiply
    1,131.96x = 1,561.68 × 782.94
  4. Step 4: Simplify right side
    1,131.96x = 1,222,701.74
  5. Step 5: Solve for x
    x = 1,222,701.74/1,131.96
  6. Step 6: Final answer
    x = 1,080.16

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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.