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Finding the Fourth Proportional to 1,343.34, 2,014.51 and 465.61

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Solution

The fourth proportional to 1,343.34, 2,014.51 and 465.61 is: 698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.34 : 2,014.51 = 465.61 : x
  2. Step 2: Convert to fraction form
    1,343.34/2,014.51 = 465.61/x
  3. Step 3: Cross multiply
    1,343.34x = 2,014.51 × 465.61
  4. Step 4: Simplify right side
    1,343.34x = 937,976.00
  5. Step 5: Solve for x
    x = 937,976.00/1,343.34
  6. Step 6: Final answer
    x = 698.24

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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.