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Finding the Fourth Proportional to 1,353.21, 2,030.26 and 532.14

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Solution

The fourth proportional to 1,353.21, 2,030.26 and 532.14 is: 798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.21 : 2,030.26 = 532.14 : x
  2. Step 2: Convert to fraction form
    1,353.21/2,030.26 = 532.14/x
  3. Step 3: Cross multiply
    1,353.21x = 2,030.26 × 532.14
  4. Step 4: Simplify right side
    1,353.21x = 1,080,382.56
  5. Step 5: Solve for x
    x = 1,080,382.56/1,353.21
  6. Step 6: Final answer
    x = 798.38

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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.