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Finding the Fourth Proportional to 773.52, 1,068.49 and 737.07

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Solution

The fourth proportional to 773.52, 1,068.49 and 737.07 is: 1,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.52 : 1,068.49 = 737.07 : x
  2. Step 2: Convert to fraction form
    773.52/1,068.49 = 737.07/x
  3. Step 3: Cross multiply
    773.52x = 1,068.49 × 737.07
  4. Step 4: Simplify right side
    773.52x = 787,551.92
  5. Step 5: Solve for x
    x = 787,551.92/773.52
  6. Step 6: Final answer
    x = 1,018.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.