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Finding the Fourth Proportional to 734.42, 1,098.72 and 568.58

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Solution

The fourth proportional to 734.42, 1,098.72 and 568.58 is: 850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.42 : 1,098.72 = 568.58 : x
  2. Step 2: Convert to fraction form
    734.42/1,098.72 = 568.58/x
  3. Step 3: Cross multiply
    734.42x = 1,098.72 × 568.58
  4. Step 4: Simplify right side
    734.42x = 624,710.22
  5. Step 5: Solve for x
    x = 624,710.22/734.42
  6. Step 6: Final answer
    x = 850.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.