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Finding the Fourth Proportional to 780.35, 1,077.08 and 485.43

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Solution

The fourth proportional to 780.35, 1,077.08 and 485.43 is: 670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.35 : 1,077.08 = 485.43 : x
  2. Step 2: Convert to fraction form
    780.35/1,077.08 = 485.43/x
  3. Step 3: Cross multiply
    780.35x = 1,077.08 × 485.43
  4. Step 4: Simplify right side
    780.35x = 522,844.52
  5. Step 5: Solve for x
    x = 522,844.52/780.35
  6. Step 6: Final answer
    x = 670.02

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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.