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Finding the Fourth Proportional to 1,136.07, 1,567.91 and 664.09

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Solution

The fourth proportional to 1,136.07, 1,567.91 and 664.09 is: 916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.07 : 1,567.91 = 664.09 : x
  2. Step 2: Convert to fraction form
    1,136.07/1,567.91 = 664.09/x
  3. Step 3: Cross multiply
    1,136.07x = 1,567.91 × 664.09
  4. Step 4: Simplify right side
    1,136.07x = 1,041,225.15
  5. Step 5: Solve for x
    x = 1,041,225.15/1,136.07
  6. Step 6: Final answer
    x = 916.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.