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Finding the Fourth Proportional to 756.84, 1,140.41 and 622.89

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Solution

The fourth proportional to 756.84, 1,140.41 and 622.89 is: 938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.84 : 1,140.41 = 622.89 : x
  2. Step 2: Convert to fraction form
    756.84/1,140.41 = 622.89/x
  3. Step 3: Cross multiply
    756.84x = 1,140.41 × 622.89
  4. Step 4: Simplify right side
    756.84x = 710,345.58
  5. Step 5: Solve for x
    x = 710,345.58/756.84
  6. Step 6: Final answer
    x = 938.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.