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Finding the Fourth Proportional to 1,136.30, 1,704.78 and 405.93

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Solution

The fourth proportional to 1,136.30, 1,704.78 and 405.93 is: 609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.30 : 1,704.78 = 405.93 : x
  2. Step 2: Convert to fraction form
    1,136.30/1,704.78 = 405.93/x
  3. Step 3: Cross multiply
    1,136.30x = 1,704.78 × 405.93
  4. Step 4: Simplify right side
    1,136.30x = 692,019.32
  5. Step 5: Solve for x
    x = 692,019.32/1,136.30
  6. Step 6: Final answer
    x = 609.01

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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.