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Finding the Fourth Proportional to 1,136.16, 1,567.67 and 663.96

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Solution

The fourth proportional to 1,136.16, 1,567.67 and 663.96 is: 916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.16 : 1,567.67 = 663.96 : x
  2. Step 2: Convert to fraction form
    1,136.16/1,567.67 = 663.96/x
  3. Step 3: Cross multiply
    1,136.16x = 1,567.67 × 663.96
  4. Step 4: Simplify right side
    1,136.16x = 1,040,872.06
  5. Step 5: Solve for x
    x = 1,040,872.06/1,136.16
  6. Step 6: Final answer
    x = 916.13

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Why These Related Problems?

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