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Finding the Fourth Proportional to 1,077.84, 1,614.33 and 712.13

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Solution

The fourth proportional to 1,077.84, 1,614.33 and 712.13 is: 1,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.84 : 1,614.33 = 712.13 : x
  2. Step 2: Convert to fraction form
    1,077.84/1,614.33 = 712.13/x
  3. Step 3: Cross multiply
    1,077.84x = 1,614.33 × 712.13
  4. Step 4: Simplify right side
    1,077.84x = 1,149,604.75
  5. Step 5: Solve for x
    x = 1,149,604.75/1,077.84
  6. Step 6: Final answer
    x = 1,066.58

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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.