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Finding the Fourth Proportional to 756.08, 1,133.16 and 653.36

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Solution

The fourth proportional to 756.08, 1,133.16 and 653.36 is: 979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.08 : 1,133.16 = 653.36 : x
  2. Step 2: Convert to fraction form
    756.08/1,133.16 = 653.36/x
  3. Step 3: Cross multiply
    756.08x = 1,133.16 × 653.36
  4. Step 4: Simplify right side
    756.08x = 740,361.42
  5. Step 5: Solve for x
    x = 740,361.42/756.08
  6. Step 6: Final answer
    x = 979.21

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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.