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Finding the Fourth Proportional to 783.33, 1,176.21 and 748.71

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Solution

The fourth proportional to 783.33, 1,176.21 and 748.71 is: 1,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.33 : 1,176.21 = 748.71 : x
  2. Step 2: Convert to fraction form
    783.33/1,176.21 = 748.71/x
  3. Step 3: Cross multiply
    783.33x = 1,176.21 × 748.71
  4. Step 4: Simplify right side
    783.33x = 880,640.19
  5. Step 5: Solve for x
    x = 880,640.19/783.33
  6. Step 6: Final answer
    x = 1,124.23

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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.