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Finding the Fourth Proportional to 785.30, 1,083.69 and 435.98

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Solution

The fourth proportional to 785.30, 1,083.69 and 435.98 is: 601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.30 : 1,083.69 = 435.98 : x
  2. Step 2: Convert to fraction form
    785.30/1,083.69 = 435.98/x
  3. Step 3: Cross multiply
    785.30x = 1,083.69 × 435.98
  4. Step 4: Simplify right side
    785.30x = 472,461.75
  5. Step 5: Solve for x
    x = 472,461.75/785.30
  6. Step 6: Final answer
    x = 601.64

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Why These Related Problems?

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