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Finding the Fourth Proportional to 733.97, 1,007.35 and 671.40

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Solution

The fourth proportional to 733.97, 1,007.35 and 671.40 is: 921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.97 : 1,007.35 = 671.40 : x
  2. Step 2: Convert to fraction form
    733.97/1,007.35 = 671.40/x
  3. Step 3: Cross multiply
    733.97x = 1,007.35 × 671.40
  4. Step 4: Simplify right side
    733.97x = 676,334.79
  5. Step 5: Solve for x
    x = 676,334.79/733.97
  6. Step 6: Final answer
    x = 921.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.