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Finding the Fourth Proportional to 785.02, 1,083.29 and 435.69

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Solution

The fourth proportional to 785.02, 1,083.29 and 435.69 is: 601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.02 : 1,083.29 = 435.69 : x
  2. Step 2: Convert to fraction form
    785.02/1,083.29 = 435.69/x
  3. Step 3: Cross multiply
    785.02x = 1,083.29 × 435.69
  4. Step 4: Simplify right side
    785.02x = 471,974.82
  5. Step 5: Solve for x
    x = 471,974.82/785.02
  6. Step 6: Final answer
    x = 601.22

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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.