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Finding the Fourth Proportional to 738.24, 1,099.68 and 717.60

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Solution

The fourth proportional to 738.24, 1,099.68 and 717.60 is: 1,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.24 : 1,099.68 = 717.60 : x
  2. Step 2: Convert to fraction form
    738.24/1,099.68 = 717.60/x
  3. Step 3: Cross multiply
    738.24x = 1,099.68 × 717.60
  4. Step 4: Simplify right side
    738.24x = 789,130.37
  5. Step 5: Solve for x
    x = 789,130.37/738.24
  6. Step 6: Final answer
    x = 1,068.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.