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Finding the Fourth Proportional to 1,343.09, 2,014.39 and 355.91

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Solution

The fourth proportional to 1,343.09, 2,014.39 and 355.91 is: 533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.09 : 2,014.39 = 355.91 : x
  2. Step 2: Convert to fraction form
    1,343.09/2,014.39 = 355.91/x
  3. Step 3: Cross multiply
    1,343.09x = 2,014.39 × 355.91
  4. Step 4: Simplify right side
    1,343.09x = 716,941.54
  5. Step 5: Solve for x
    x = 716,941.54/1,343.09
  6. Step 6: Final answer
    x = 533.80

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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.