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Finding the Fourth Proportional to 780.44, 1,077.12 and 714.56

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Solution

The fourth proportional to 780.44, 1,077.12 and 714.56 is: 986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.44 : 1,077.12 = 714.56 : x
  2. Step 2: Convert to fraction form
    780.44/1,077.12 = 714.56/x
  3. Step 3: Cross multiply
    780.44x = 1,077.12 × 714.56
  4. Step 4: Simplify right side
    780.44x = 769,666.87
  5. Step 5: Solve for x
    x = 769,666.87/780.44
  6. Step 6: Final answer
    x = 986.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.