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Finding the Fourth Proportional to 1,735.22, 2,602.80 and 436.66

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Solution

The fourth proportional to 1,735.22, 2,602.80 and 436.66 is: 654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.22 : 2,602.80 = 436.66 : x
  2. Step 2: Convert to fraction form
    1,735.22/2,602.80 = 436.66/x
  3. Step 3: Cross multiply
    1,735.22x = 2,602.80 × 436.66
  4. Step 4: Simplify right side
    1,735.22x = 1,136,532.14
  5. Step 5: Solve for x
    x = 1,136,532.14/1,735.22
  6. Step 6: Final answer
    x = 654.98

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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.