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Finding the Fourth Proportional to 1,136.86, 1,568.86 and 665.08

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Solution

The fourth proportional to 1,136.86, 1,568.86 and 665.08 is: 917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.86 : 1,568.86 = 665.08 : x
  2. Step 2: Convert to fraction form
    1,136.86/1,568.86 = 665.08/x
  3. Step 3: Cross multiply
    1,136.86x = 1,568.86 × 665.08
  4. Step 4: Simplify right side
    1,136.86x = 1,043,411.82
  5. Step 5: Solve for x
    x = 1,043,411.82/1,136.86
  6. Step 6: Final answer
    x = 917.80

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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.