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Finding the Fourth Proportional to 1,136.60, 1,703.38 and 615.81

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Solution

The fourth proportional to 1,136.60, 1,703.38 and 615.81 is: 922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.60 : 1,703.38 = 615.81 : x
  2. Step 2: Convert to fraction form
    1,136.60/1,703.38 = 615.81/x
  3. Step 3: Cross multiply
    1,136.60x = 1,703.38 × 615.81
  4. Step 4: Simplify right side
    1,136.60x = 1,048,958.44
  5. Step 5: Solve for x
    x = 1,048,958.44/1,136.60
  6. Step 6: Final answer
    x = 922.89

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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.