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Finding the Fourth Proportional to 768.51, 1,150.94 and 614.55

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Solution

The fourth proportional to 768.51, 1,150.94 and 614.55 is: 920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.51 : 1,150.94 = 614.55 : x
  2. Step 2: Convert to fraction form
    768.51/1,150.94 = 614.55/x
  3. Step 3: Cross multiply
    768.51x = 1,150.94 × 614.55
  4. Step 4: Simplify right side
    768.51x = 707,307.10
  5. Step 5: Solve for x
    x = 707,307.10/768.51
  6. Step 6: Final answer
    x = 920.36

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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.