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Finding the Fourth Proportional to 1,735.30, 2,602.83 and 436.78

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Solution

The fourth proportional to 1,735.30, 2,602.83 and 436.78 is: 655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.30 : 2,602.83 = 436.78 : x
  2. Step 2: Convert to fraction form
    1,735.30/2,602.83 = 436.78/x
  3. Step 3: Cross multiply
    1,735.30x = 2,602.83 × 436.78
  4. Step 4: Simplify right side
    1,735.30x = 1,136,864.09
  5. Step 5: Solve for x
    x = 1,136,864.09/1,735.30
  6. Step 6: Final answer
    x = 655.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.