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Finding the Fourth Proportional to 1,136.16, 1,567.89 and 688.05

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Solution

The fourth proportional to 1,136.16, 1,567.89 and 688.05 is: 949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.16 : 1,567.89 = 688.05 : x
  2. Step 2: Convert to fraction form
    1,136.16/1,567.89 = 688.05/x
  3. Step 3: Cross multiply
    1,136.16x = 1,567.89 × 688.05
  4. Step 4: Simplify right side
    1,136.16x = 1,078,786.71
  5. Step 5: Solve for x
    x = 1,078,786.71/1,136.16
  6. Step 6: Final answer
    x = 949.50

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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.