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Finding the Fourth Proportional to 1,044.84, 1,567.74 and 773.22

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Solution

The fourth proportional to 1,044.84, 1,567.74 and 773.22 is: 1,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.84 : 1,567.74 = 773.22 : x
  2. Step 2: Convert to fraction form
    1,044.84/1,567.74 = 773.22/x
  3. Step 3: Cross multiply
    1,044.84x = 1,567.74 × 773.22
  4. Step 4: Simplify right side
    1,044.84x = 1,212,207.92
  5. Step 5: Solve for x
    x = 1,212,207.92/1,044.84
  6. Step 6: Final answer
    x = 1,160.19

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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.