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Finding the Fourth Proportional to 1,134.43, 1,566.09 and 784.51

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Solution

The fourth proportional to 1,134.43, 1,566.09 and 784.51 is: 1,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.43 : 1,566.09 = 784.51 : x
  2. Step 2: Convert to fraction form
    1,134.43/1,566.09 = 784.51/x
  3. Step 3: Cross multiply
    1,134.43x = 1,566.09 × 784.51
  4. Step 4: Simplify right side
    1,134.43x = 1,228,613.27
  5. Step 5: Solve for x
    x = 1,228,613.27/1,134.43
  6. Step 6: Final answer
    x = 1,083.02

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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.