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Finding the Fourth Proportional to 898.72, 1,347.37 and 343.06

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Solution

The fourth proportional to 898.72, 1,347.37 and 343.06 is: 514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.72 : 1,347.37 = 343.06 : x
  2. Step 2: Convert to fraction form
    898.72/1,347.37 = 343.06/x
  3. Step 3: Cross multiply
    898.72x = 1,347.37 × 343.06
  4. Step 4: Simplify right side
    898.72x = 462,224.53
  5. Step 5: Solve for x
    x = 462,224.53/898.72
  6. Step 6: Final answer
    x = 514.32

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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.