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Finding the Fourth Proportional to 768.36, 1,146.93 and 703.56

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Solution

The fourth proportional to 768.36, 1,146.93 and 703.56 is: 1,050.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.36 : 1,146.93 = 703.56 : x
  2. Step 2: Convert to fraction form
    768.36/1,146.93 = 703.56/x
  3. Step 3: Cross multiply
    768.36x = 1,146.93 × 703.56
  4. Step 4: Simplify right side
    768.36x = 806,934.07
  5. Step 5: Solve for x
    x = 806,934.07/768.36
  6. Step 6: Final answer
    x = 1,050.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.