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Finding the Fourth Proportional to 1,133.84, 1,564.71 and 662.03

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Solution

The fourth proportional to 1,133.84, 1,564.71 and 662.03 is: 913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.84 : 1,564.71 = 662.03 : x
  2. Step 2: Convert to fraction form
    1,133.84/1,564.71 = 662.03/x
  3. Step 3: Cross multiply
    1,133.84x = 1,564.71 × 662.03
  4. Step 4: Simplify right side
    1,133.84x = 1,035,884.96
  5. Step 5: Solve for x
    x = 1,035,884.96/1,133.84
  6. Step 6: Final answer
    x = 913.61

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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.