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Finding the Fourth Proportional to 898.93, 1,344.34 and 735.31

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Solution

The fourth proportional to 898.93, 1,344.34 and 735.31 is: 1,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.93 : 1,344.34 = 735.31 : x
  2. Step 2: Convert to fraction form
    898.93/1,344.34 = 735.31/x
  3. Step 3: Cross multiply
    898.93x = 1,344.34 × 735.31
  4. Step 4: Simplify right side
    898.93x = 988,506.65
  5. Step 5: Solve for x
    x = 988,506.65/898.93
  6. Step 6: Final answer
    x = 1,099.65

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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.