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Finding the Fourth Proportional to 1,136.58, 1,705.32 and 406.20

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Solution

The fourth proportional to 1,136.58, 1,705.32 and 406.20 is: 609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.58 : 1,705.32 = 406.20 : x
  2. Step 2: Convert to fraction form
    1,136.58/1,705.32 = 406.20/x
  3. Step 3: Cross multiply
    1,136.58x = 1,705.32 × 406.20
  4. Step 4: Simplify right side
    1,136.58x = 692,700.98
  5. Step 5: Solve for x
    x = 692,700.98/1,136.58
  6. Step 6: Final answer
    x = 609.46

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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.