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Finding the Fourth Proportional to 785.63, 1,083.78 and 520.55

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Solution

The fourth proportional to 785.63, 1,083.78 and 520.55 is: 718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.63 : 1,083.78 = 520.55 : x
  2. Step 2: Convert to fraction form
    785.63/1,083.78 = 520.55/x
  3. Step 3: Cross multiply
    785.63x = 1,083.78 × 520.55
  4. Step 4: Simplify right side
    785.63x = 564,161.68
  5. Step 5: Solve for x
    x = 564,161.68/785.63
  6. Step 6: Final answer
    x = 718.10

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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.