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Finding the Fourth Proportional to 767.15, 1,052.78 and 718.55

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Solution

The fourth proportional to 767.15, 1,052.78 and 718.55 is: 986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.15 : 1,052.78 = 718.55 : x
  2. Step 2: Convert to fraction form
    767.15/1,052.78 = 718.55/x
  3. Step 3: Cross multiply
    767.15x = 1,052.78 × 718.55
  4. Step 4: Simplify right side
    767.15x = 756,475.07
  5. Step 5: Solve for x
    x = 756,475.07/767.15
  6. Step 6: Final answer
    x = 986.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.